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Finding the Fourth Proportional to 486,534.40, 729,218.40 and 249,755.20

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Solution

The fourth proportional to 486,534.40, 729,218.40 and 249,755.20 is: 374,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,534.40 : 729,218.40 = 249,755.20 : x
  2. Step 2: Convert to fraction form
    486,534.40/729,218.40 = 249,755.20/x
  3. Step 3: Cross multiply
    486,534.40x = 729,218.40 × 249,755.20
  4. Step 4: Simplify right side
    486,534.40x = 182,126,087,335.68
  5. Step 5: Solve for x
    x = 182,126,087,335.68/486,534.40
  6. Step 6: Final answer
    x = 374,333.42

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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.