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Finding the Fourth Proportional to 475,336.64, 712,969.32 and 138,379.88

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Solution

The fourth proportional to 475,336.64, 712,969.32 and 138,379.88 is: 207,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,336.64 : 712,969.32 = 138,379.88 : x
  2. Step 2: Convert to fraction form
    475,336.64/712,969.32 = 138,379.88/x
  3. Step 3: Cross multiply
    475,336.64x = 712,969.32 × 138,379.88
  4. Step 4: Simplify right side
    475,336.64x = 98,660,608,945.28
  5. Step 5: Solve for x
    x = 98,660,608,945.28/475,336.64
  6. Step 6: Final answer
    x = 207,559.44

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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.