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Finding the Fourth Proportional to 514,331.20, 771,496.80 and 214,712.20

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Solution

The fourth proportional to 514,331.20, 771,496.80 and 214,712.20 is: 322,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,331.20 : 771,496.80 = 214,712.20 : x
  2. Step 2: Convert to fraction form
    514,331.20/771,496.80 = 214,712.20/x
  3. Step 3: Cross multiply
    514,331.20x = 771,496.80 × 214,712.20
  4. Step 4: Simplify right side
    514,331.20x = 165,649,775,220.96
  5. Step 5: Solve for x
    x = 165,649,775,220.96/514,331.20
  6. Step 6: Final answer
    x = 322,068.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.