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Finding the Fourth Proportional to 488,715.80, 733,729.80 and 312,006.20

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Solution

The fourth proportional to 488,715.80, 733,729.80 and 312,006.20 is: 468,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,715.80 : 733,729.80 = 312,006.20 : x
  2. Step 2: Convert to fraction form
    488,715.80/733,729.80 = 312,006.20/x
  3. Step 3: Cross multiply
    488,715.80x = 733,729.80 × 312,006.20
  4. Step 4: Simplify right side
    488,715.80x = 228,928,246,724.76
  5. Step 5: Solve for x
    x = 228,928,246,724.76/488,715.80
  6. Step 6: Final answer
    x = 468,428.17

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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.