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Finding the Fourth Proportional to 431,142.53, 646,990.57 and 289,148.15

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Solution

The fourth proportional to 431,142.53, 646,990.57 and 289,148.15 is: 433,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,142.53 : 646,990.57 = 289,148.15 : x
  2. Step 2: Convert to fraction form
    431,142.53/646,990.57 = 289,148.15/x
  3. Step 3: Cross multiply
    431,142.53x = 646,990.57 × 289,148.15
  4. Step 4: Simplify right side
    431,142.53x = 187,076,126,382.95
  5. Step 5: Solve for x
    x = 187,076,126,382.95/431,142.53
  6. Step 6: Final answer
    x = 433,907.85

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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.