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Finding the Fourth Proportional to 261,810.47, 392,707.89 and 72,282.41

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Solution

The fourth proportional to 261,810.47, 392,707.89 and 72,282.41 is: 108,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810.47 : 392,707.89 = 72,282.41 : x
  2. Step 2: Convert to fraction form
    261,810.47/392,707.89 = 72,282.41/x
  3. Step 3: Cross multiply
    261,810.47x = 392,707.89 × 72,282.41
  4. Step 4: Simplify right side
    261,810.47x = 28,385,872,715.21
  5. Step 5: Solve for x
    x = 28,385,872,715.21/261,810.47
  6. Step 6: Final answer
    x = 108,421.46

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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.