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Finding the Fourth Proportional to 315,805.44, 435,812.64 and 172,565.48

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Solution

The fourth proportional to 315,805.44, 435,812.64 and 172,565.48 is: 238,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,805.44 : 435,812.64 = 172,565.48 : x
  2. Step 2: Convert to fraction form
    315,805.44/435,812.64 = 172,565.48/x
  3. Step 3: Cross multiply
    315,805.44x = 435,812.64 × 172,565.48
  4. Step 4: Simplify right side
    315,805.44x = 75,206,217,411.67
  5. Step 5: Solve for x
    x = 75,206,217,411.67/315,805.44
  6. Step 6: Final answer
    x = 238,140.98

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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.