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Finding the Fourth Proportional to 509,003.28, 762,341.76 and 242,950.59

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Solution

The fourth proportional to 509,003.28, 762,341.76 and 242,950.59 is: 363,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,003.28 : 762,341.76 = 242,950.59 : x
  2. Step 2: Convert to fraction form
    509,003.28/762,341.76 = 242,950.59/x
  3. Step 3: Cross multiply
    509,003.28x = 762,341.76 × 242,950.59
  4. Step 4: Simplify right side
    509,003.28x = 185,211,380,373.64
  5. Step 5: Solve for x
    x = 185,211,380,373.64/509,003.28
  6. Step 6: Final answer
    x = 363,870.70

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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.