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Finding the Fourth Proportional to 514,298.82, 771,571.38 and 214,612.68

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Solution

The fourth proportional to 514,298.82, 771,571.38 and 214,612.68 is: 321,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,298.82 : 771,571.38 = 214,612.68 : x
  2. Step 2: Convert to fraction form
    514,298.82/771,571.38 = 214,612.68/x
  3. Step 3: Cross multiply
    514,298.82x = 771,571.38 × 214,612.68
  4. Step 4: Simplify right side
    514,298.82x = 165,589,001,673.10
  5. Step 5: Solve for x
    x = 165,589,001,673.10/514,298.82
  6. Step 6: Final answer
    x = 321,970.41

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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.