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Finding the Fourth Proportional to 514,257.80, 771,386.70 and 140,280.20

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Solution

The fourth proportional to 514,257.80, 771,386.70 and 140,280.20 is: 210,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,257.80 : 771,386.70 = 140,280.20 : x
  2. Step 2: Convert to fraction form
    514,257.80/771,386.70 = 140,280.20/x
  3. Step 3: Cross multiply
    514,257.80x = 771,386.70 × 140,280.20
  4. Step 4: Simplify right side
    514,257.80x = 108,210,280,553.34
  5. Step 5: Solve for x
    x = 108,210,280,553.34/514,257.80
  6. Step 6: Final answer
    x = 210,420.30

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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.