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Finding the Fourth Proportional to 499,405.48, 748,319.27 and 405,451.96

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Solution

The fourth proportional to 499,405.48, 748,319.27 and 405,451.96 is: 607,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,405.48 : 748,319.27 = 405,451.96 : x
  2. Step 2: Convert to fraction form
    499,405.48/748,319.27 = 405,451.96/x
  3. Step 3: Cross multiply
    499,405.48x = 748,319.27 × 405,451.96
  4. Step 4: Simplify right side
    499,405.48x = 303,407,510,985.67
  5. Step 5: Solve for x
    x = 303,407,510,985.67/499,405.48
  6. Step 6: Final answer
    x = 607,537.41

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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.