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Finding the Fourth Proportional to 486,029.60, 729,044.40 and 272,578.40

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Solution

The fourth proportional to 486,029.60, 729,044.40 and 272,578.40 is: 408,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.60 : 729,044.40 = 272,578.40 : x
  2. Step 2: Convert to fraction form
    486,029.60/729,044.40 = 272,578.40/x
  3. Step 3: Cross multiply
    486,029.60x = 729,044.40 × 272,578.40
  4. Step 4: Simplify right side
    486,029.60x = 198,721,756,080.96
  5. Step 5: Solve for x
    x = 198,721,756,080.96/486,029.60
  6. Step 6: Final answer
    x = 408,867.60

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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.