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Finding the Fourth Proportional to 315,614.88, 435,532.14 and 172,346.94

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Solution

The fourth proportional to 315,614.88, 435,532.14 and 172,346.94 is: 237,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,614.88 : 435,532.14 = 172,346.94 : x
  2. Step 2: Convert to fraction form
    315,614.88/435,532.14 = 172,346.94/x
  3. Step 3: Cross multiply
    315,614.88x = 435,532.14 × 172,346.94
  4. Step 4: Simplify right side
    315,614.88x = 75,062,631,600.65
  5. Step 5: Solve for x
    x = 75,062,631,600.65/315,614.88
  6. Step 6: Final answer
    x = 237,829.82

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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.