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Finding the Fourth Proportional to 459,911.77, 690,312.57 and 331,959.97

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Solution

The fourth proportional to 459,911.77, 690,312.57 and 331,959.97 is: 498,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,911.77 : 690,312.57 = 331,959.97 : x
  2. Step 2: Convert to fraction form
    459,911.77/690,312.57 = 331,959.97/x
  3. Step 3: Cross multiply
    459,911.77x = 690,312.57 × 331,959.97
  4. Step 4: Simplify right side
    459,911.77x = 229,156,140,027.82
  5. Step 5: Solve for x
    x = 229,156,140,027.82/459,911.77
  6. Step 6: Final answer
    x = 498,261.09

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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.