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Finding the Fourth Proportional to 499,606.47, 689,439.87 and 284,815.77

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Solution

The fourth proportional to 499,606.47, 689,439.87 and 284,815.77 is: 393,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,606.47 : 689,439.87 = 284,815.77 : x
  2. Step 2: Convert to fraction form
    499,606.47/689,439.87 = 284,815.77/x
  3. Step 3: Cross multiply
    499,606.47x = 689,439.87 × 284,815.77
  4. Step 4: Simplify right side
    499,606.47x = 196,363,347,442.75
  5. Step 5: Solve for x
    x = 196,363,347,442.75/499,606.47
  6. Step 6: Final answer
    x = 393,036.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.