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Finding the Fourth Proportional to 475,339.64, 712,973.82 and 138,382.88

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Solution

The fourth proportional to 475,339.64, 712,973.82 and 138,382.88 is: 207,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,339.64 : 712,973.82 = 138,382.88 : x
  2. Step 2: Convert to fraction form
    475,339.64/712,973.82 = 138,382.88/x
  3. Step 3: Cross multiply
    475,339.64x = 712,973.82 × 138,382.88
  4. Step 4: Simplify right side
    475,339.64x = 98,663,370,576.20
  5. Step 5: Solve for x
    x = 98,663,370,576.20/475,339.64
  6. Step 6: Final answer
    x = 207,563.94

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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.