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Finding the Fourth Proportional to 472,380.60, 708,357.66 and 135,344.13

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Solution

The fourth proportional to 472,380.60, 708,357.66 and 135,344.13 is: 202,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,380.60 : 708,357.66 = 135,344.13 : x
  2. Step 2: Convert to fraction form
    472,380.60/708,357.66 = 135,344.13/x
  3. Step 3: Cross multiply
    472,380.60x = 708,357.66 × 135,344.13
  4. Step 4: Simplify right side
    472,380.60x = 95,872,051,221.54
  5. Step 5: Solve for x
    x = 95,872,051,221.54/472,380.60
  6. Step 6: Final answer
    x = 202,955.10

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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.