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Finding the Fourth Proportional to 486,651.95, 729,979.64 and 149,690.33

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Solution

The fourth proportional to 486,651.95, 729,979.64 and 149,690.33 is: 224,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,651.95 : 729,979.64 = 149,690.33 : x
  2. Step 2: Convert to fraction form
    486,651.95/729,979.64 = 149,690.33/x
  3. Step 3: Cross multiply
    486,651.95x = 729,979.64 × 149,690.33
  4. Step 4: Simplify right side
    486,651.95x = 109,270,888,806.53
  5. Step 5: Solve for x
    x = 109,270,888,806.53/486,651.95
  6. Step 6: Final answer
    x = 224,536.02

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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.