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Finding the Fourth Proportional to 486,226.73, 729,213.01 and 144,578.15

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Solution

The fourth proportional to 486,226.73, 729,213.01 and 144,578.15 is: 216,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,226.73 : 729,213.01 = 144,578.15 : x
  2. Step 2: Convert to fraction form
    486,226.73/729,213.01 = 144,578.15/x
  3. Step 3: Cross multiply
    486,226.73x = 729,213.01 × 144,578.15
  4. Step 4: Simplify right side
    486,226.73x = 105,428,267,941.73
  5. Step 5: Solve for x
    x = 105,428,267,941.73/486,226.73
  6. Step 6: Final answer
    x = 216,829.44

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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.