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Finding the Fourth Proportional to 406,491.95, 560,913.50 and 225,158.89

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Solution

The fourth proportional to 406,491.95, 560,913.50 and 225,158.89 is: 310,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,491.95 : 560,913.50 = 225,158.89 : x
  2. Step 2: Convert to fraction form
    406,491.95/560,913.50 = 225,158.89/x
  3. Step 3: Cross multiply
    406,491.95x = 560,913.50 × 225,158.89
  4. Step 4: Simplify right side
    406,491.95x = 126,294,661,046.02
  5. Step 5: Solve for x
    x = 126,294,661,046.02/406,491.95
  6. Step 6: Final answer
    x = 310,694.13

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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.