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Finding the Fourth Proportional to 475,265.88, 713,010.60 and 138,313.80

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Solution

The fourth proportional to 475,265.88, 713,010.60 and 138,313.80 is: 207,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,265.88 : 713,010.60 = 138,313.80 : x
  2. Step 2: Convert to fraction form
    475,265.88/713,010.60 = 138,313.80/x
  3. Step 3: Cross multiply
    475,265.88x = 713,010.60 × 138,313.80
  4. Step 4: Simplify right side
    475,265.88x = 98,619,205,526.28
  5. Step 5: Solve for x
    x = 98,619,205,526.28/475,265.88
  6. Step 6: Final answer
    x = 207,503.23

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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.