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Finding the Fourth Proportional to 472,428.56, 708,639.84 and 172,930

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Solution

The fourth proportional to 472,428.56, 708,639.84 and 172,930 is: 259,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,428.56 : 708,639.84 = 172,930 : x
  2. Step 2: Convert to fraction form
    472,428.56/708,639.84 = 172,930/x
  3. Step 3: Cross multiply
    472,428.56x = 708,639.84 × 172,930
  4. Step 4: Simplify right side
    472,428.56x = 122,545,087,531.20
  5. Step 5: Solve for x
    x = 122,545,087,531.20/472,428.56
  6. Step 6: Final answer
    x = 259,393.90

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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.