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Finding the Fourth Proportional to 509,191.52, 762,624.45 and 243,139.32

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Solution

The fourth proportional to 509,191.52, 762,624.45 and 243,139.32 is: 364,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,191.52 : 762,624.45 = 243,139.32 : x
  2. Step 2: Convert to fraction form
    509,191.52/762,624.45 = 243,139.32/x
  3. Step 3: Cross multiply
    509,191.52x = 762,624.45 × 243,139.32
  4. Step 4: Simplify right side
    509,191.52x = 185,423,990,188.37
  5. Step 5: Solve for x
    x = 185,423,990,188.37/509,191.52
  6. Step 6: Final answer
    x = 364,153.73

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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.