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Finding the Fourth Proportional to 472,405.31, 708,643.51 and 135,443.29

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Solution

The fourth proportional to 472,405.31, 708,643.51 and 135,443.29 is: 203,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405.31 : 708,643.51 = 135,443.29 : x
  2. Step 2: Convert to fraction form
    472,405.31/708,643.51 = 135,443.29/x
  3. Step 3: Cross multiply
    472,405.31x = 708,643.51 × 135,443.29
  4. Step 4: Simplify right side
    472,405.31x = 95,981,005,982.72
  5. Step 5: Solve for x
    x = 95,981,005,982.72/472,405.31
  6. Step 6: Final answer
    x = 203,175.12

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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.