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Finding the Fourth Proportional to 475,265.19, 712,930.59 and 138,308.63

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Solution

The fourth proportional to 475,265.19, 712,930.59 and 138,308.63 is: 207,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,265.19 : 712,930.59 = 138,308.63 : x
  2. Step 2: Convert to fraction form
    475,265.19/712,930.59 = 138,308.63/x
  3. Step 3: Cross multiply
    475,265.19x = 712,930.59 × 138,308.63
  4. Step 4: Simplify right side
    475,265.19x = 98,604,452,496.45
  5. Step 5: Solve for x
    x = 98,604,452,496.45/475,265.19
  6. Step 6: Final answer
    x = 207,472.49

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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.