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Finding the Fourth Proportional to 431,129.25, 646,970.67 and 289,134.90

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Solution

The fourth proportional to 431,129.25, 646,970.67 and 289,134.90 is: 433,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,129.25 : 646,970.67 = 289,134.90 : x
  2. Step 2: Convert to fraction form
    431,129.25/646,970.67 = 289,134.90/x
  3. Step 3: Cross multiply
    431,129.25x = 646,970.67 × 289,134.90
  4. Step 4: Simplify right side
    431,129.25x = 187,061,799,973.38
  5. Step 5: Solve for x
    x = 187,061,799,973.38/431,129.25
  6. Step 6: Final answer
    x = 433,887.98

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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.