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Finding the Fourth Proportional to 707,505.92, 976,042.72 and 477,989.44

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Solution

The fourth proportional to 707,505.92, 976,042.72 and 477,989.44 is: 659,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,505.92 : 976,042.72 = 477,989.44 : x
  2. Step 2: Convert to fraction form
    707,505.92/976,042.72 = 477,989.44/x
  3. Step 3: Cross multiply
    707,505.92x = 976,042.72 × 477,989.44
  4. Step 4: Simplify right side
    707,505.92x = 466,538,113,148.88
  5. Step 5: Solve for x
    x = 466,538,113,148.88/707,505.92
  6. Step 6: Final answer
    x = 659,412.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.