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Finding the Fourth Proportional to 500,248.83, 750,394 and 145,262.85

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Solution

The fourth proportional to 500,248.83, 750,394 and 145,262.85 is: 217,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,248.83 : 750,394 = 145,262.85 : x
  2. Step 2: Convert to fraction form
    500,248.83/750,394 = 145,262.85/x
  3. Step 3: Cross multiply
    500,248.83x = 750,394 × 145,262.85
  4. Step 4: Simplify right side
    500,248.83x = 109,004,371,062.90
  5. Step 5: Solve for x
    x = 109,004,371,062.90/500,248.83
  6. Step 6: Final answer
    x = 217,900.30

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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.