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Finding the Fourth Proportional to 486,511.68, 729,837.17 and 149,580.63

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Solution

The fourth proportional to 486,511.68, 729,837.17 and 149,580.63 is: 224,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,511.68 : 729,837.17 = 149,580.63 : x
  2. Step 2: Convert to fraction form
    486,511.68/729,837.17 = 149,580.63/x
  3. Step 3: Cross multiply
    486,511.68x = 729,837.17 × 149,580.63
  4. Step 4: Simplify right side
    486,511.68x = 109,169,503,686.02
  5. Step 5: Solve for x
    x = 109,169,503,686.02/486,511.68
  6. Step 6: Final answer
    x = 224,392.36

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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.