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Finding the Fourth Proportional to 509,139.69, 763,747.80 and 154,182.30

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Solution

The fourth proportional to 509,139.69, 763,747.80 and 154,182.30 is: 231,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,139.69 : 763,747.80 = 154,182.30 : x
  2. Step 2: Convert to fraction form
    509,139.69/763,747.80 = 154,182.30/x
  3. Step 3: Cross multiply
    509,139.69x = 763,747.80 × 154,182.30
  4. Step 4: Simplify right side
    509,139.69x = 117,756,392,423.94
  5. Step 5: Solve for x
    x = 117,756,392,423.94/509,139.69
  6. Step 6: Final answer
    x = 231,285.04

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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.