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Finding the Fourth Proportional to 522,920.86, 721,616.78 and 296,561.50

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Solution

The fourth proportional to 522,920.86, 721,616.78 and 296,561.50 is: 409,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,920.86 : 721,616.78 = 296,561.50 : x
  2. Step 2: Convert to fraction form
    522,920.86/721,616.78 = 296,561.50/x
  3. Step 3: Cross multiply
    522,920.86x = 721,616.78 × 296,561.50
  4. Step 4: Simplify right side
    522,920.86x = 214,003,754,701.97
  5. Step 5: Solve for x
    x = 214,003,754,701.97/522,920.86
  6. Step 6: Final answer
    x = 409,246.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.