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Finding the Fourth Proportional to 522,600.74, 783,979.01 and 185,613.08

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Solution

The fourth proportional to 522,600.74, 783,979.01 and 185,613.08 is: 278,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,600.74 : 783,979.01 = 185,613.08 : x
  2. Step 2: Convert to fraction form
    522,600.74/783,979.01 = 185,613.08/x
  3. Step 3: Cross multiply
    522,600.74x = 783,979.01 × 185,613.08
  4. Step 4: Simplify right side
    522,600.74x = 145,516,758,701.45
  5. Step 5: Solve for x
    x = 145,516,758,701.45/522,600.74
  6. Step 6: Final answer
    x = 278,447.29

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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.