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Finding the Fourth Proportional to 472,390.74, 708,372.81 and 135,354.20

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Solution

The fourth proportional to 472,390.74, 708,372.81 and 135,354.20 is: 202,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,390.74 : 708,372.81 = 135,354.20 : x
  2. Step 2: Convert to fraction form
    472,390.74/708,372.81 = 135,354.20/x
  3. Step 3: Cross multiply
    472,390.74x = 708,372.81 × 135,354.20
  4. Step 4: Simplify right side
    472,390.74x = 95,881,231,457.44
  5. Step 5: Solve for x
    x = 95,881,231,457.44/472,390.74
  6. Step 6: Final answer
    x = 202,970.18

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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.