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Finding the Fourth Proportional to 499,404.98, 748,318.52 and 405,451.46

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Solution

The fourth proportional to 499,404.98, 748,318.52 and 405,451.46 is: 607,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,404.98 : 748,318.52 = 405,451.46 : x
  2. Step 2: Convert to fraction form
    499,404.98/748,318.52 = 405,451.46/x
  3. Step 3: Cross multiply
    499,404.98x = 748,318.52 × 405,451.46
  4. Step 4: Simplify right side
    499,404.98x = 303,406,832,737.45
  5. Step 5: Solve for x
    x = 303,406,832,737.45/499,404.98
  6. Step 6: Final answer
    x = 607,536.66

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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.