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Finding the Fourth Proportional to 315,807.92, 435,813.84 and 172,569.20

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Solution

The fourth proportional to 315,807.92, 435,813.84 and 172,569.20 is: 238,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.92 : 435,813.84 = 172,569.20 : x
  2. Step 2: Convert to fraction form
    315,807.92/435,813.84 = 172,569.20/x
  3. Step 3: Cross multiply
    315,807.92x = 435,813.84 × 172,569.20
  4. Step 4: Simplify right side
    315,807.92x = 75,208,045,717.73
  5. Step 5: Solve for x
    x = 75,208,045,717.73/315,807.92
  6. Step 6: Final answer
    x = 238,144.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.