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Finding the Fourth Proportional to 488,145.30, 732,874.05 and 311,435.70

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Solution

The fourth proportional to 488,145.30, 732,874.05 and 311,435.70 is: 467,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,145.30 : 732,874.05 = 311,435.70 : x
  2. Step 2: Convert to fraction form
    488,145.30/732,874.05 = 311,435.70/x
  3. Step 3: Cross multiply
    488,145.30x = 732,874.05 × 311,435.70
  4. Step 4: Simplify right side
    488,145.30x = 228,243,142,773.59
  5. Step 5: Solve for x
    x = 228,243,142,773.59/488,145.30
  6. Step 6: Final answer
    x = 467,572.14

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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.