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Finding the Fourth Proportional to 498,720.52, 749,188.05 and 309,320.92

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Solution

The fourth proportional to 498,720.52, 749,188.05 and 309,320.92 is: 464,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,720.52 : 749,188.05 = 309,320.92 : x
  2. Step 2: Convert to fraction form
    498,720.52/749,188.05 = 309,320.92/x
  3. Step 3: Cross multiply
    498,720.52x = 749,188.05 × 309,320.92
  4. Step 4: Simplify right side
    498,720.52x = 231,739,533,133.07
  5. Step 5: Solve for x
    x = 231,739,533,133.07/498,720.52
  6. Step 6: Final answer
    x = 464,668.14

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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.