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Finding the Fourth Proportional to 487,419.96, 731,347.86 and 309,879.48

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Solution

The fourth proportional to 487,419.96, 731,347.86 and 309,879.48 is: 464,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,419.96 : 731,347.86 = 309,879.48 : x
  2. Step 2: Convert to fraction form
    487,419.96/731,347.86 = 309,879.48/x
  3. Step 3: Cross multiply
    487,419.96x = 731,347.86 × 309,879.48
  4. Step 4: Simplify right side
    487,419.96x = 226,629,694,555.91
  5. Step 5: Solve for x
    x = 226,629,694,555.91/487,419.96
  6. Step 6: Final answer
    x = 464,957.76

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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.