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Finding the Fourth Proportional to 500,809.92, 690,900.48 and 331,280.64

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Solution

The fourth proportional to 500,809.92, 690,900.48 and 331,280.64 is: 457,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,809.92 : 690,900.48 = 331,280.64 : x
  2. Step 2: Convert to fraction form
    500,809.92/690,900.48 = 331,280.64/x
  3. Step 3: Cross multiply
    500,809.92x = 690,900.48 × 331,280.64
  4. Step 4: Simplify right side
    500,809.92x = 228,881,953,190.71
  5. Step 5: Solve for x
    x = 228,881,953,190.71/500,809.92
  6. Step 6: Final answer
    x = 457,023.60

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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.