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Finding the Fourth Proportional to 488,616.30, 733,580.55 and 311,906.70

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Solution

The fourth proportional to 488,616.30, 733,580.55 and 311,906.70 is: 468,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,616.30 : 733,580.55 = 311,906.70 : x
  2. Step 2: Convert to fraction form
    488,616.30/733,580.55 = 311,906.70/x
  3. Step 3: Cross multiply
    488,616.30x = 733,580.55 × 311,906.70
  4. Step 4: Simplify right side
    488,616.30x = 228,808,688,534.69
  5. Step 5: Solve for x
    x = 228,808,688,534.69/488,616.30
  6. Step 6: Final answer
    x = 468,278.87

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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.