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Finding the Fourth Proportional to 486,175.10, 729,262.65 and 205,655.90

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Solution

The fourth proportional to 486,175.10, 729,262.65 and 205,655.90 is: 308,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,175.10 : 729,262.65 = 205,655.90 : x
  2. Step 2: Convert to fraction form
    486,175.10/729,262.65 = 205,655.90/x
  3. Step 3: Cross multiply
    486,175.10x = 729,262.65 × 205,655.90
  4. Step 4: Simplify right side
    486,175.10x = 149,977,166,622.14
  5. Step 5: Solve for x
    x = 149,977,166,622.14/486,175.10
  6. Step 6: Final answer
    x = 308,483.85

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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.