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Finding the Fourth Proportional to 498,712.44, 749,175.84 and 309,312.78

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Solution

The fourth proportional to 498,712.44, 749,175.84 and 309,312.78 is: 464,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,712.44 : 749,175.84 = 309,312.78 : x
  2. Step 2: Convert to fraction form
    498,712.44/749,175.84 = 309,312.78/x
  3. Step 3: Cross multiply
    498,712.44x = 749,175.84 × 309,312.78
  4. Step 4: Simplify right side
    498,712.44x = 231,729,661,779.24
  5. Step 5: Solve for x
    x = 231,729,661,779.24/498,712.44
  6. Step 6: Final answer
    x = 464,655.87

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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.