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Finding the Fourth Proportional to 472,409.78, 708,469.32 and 135,360.14

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Solution

The fourth proportional to 472,409.78, 708,469.32 and 135,360.14 is: 202,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,409.78 : 708,469.32 = 135,360.14 : x
  2. Step 2: Convert to fraction form
    472,409.78/708,469.32 = 135,360.14/x
  3. Step 3: Cross multiply
    472,409.78x = 708,469.32 × 135,360.14
  4. Step 4: Simplify right side
    472,409.78x = 95,898,506,340.90
  5. Step 5: Solve for x
    x = 95,898,506,340.90/472,409.78
  6. Step 6: Final answer
    x = 202,998.56

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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.