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Finding the Fourth Proportional to 565,225.92, 780,766.56 and 396,020.16

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Solution

The fourth proportional to 565,225.92, 780,766.56 and 396,020.16 is: 547,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,225.92 : 780,766.56 = 396,020.16 : x
  2. Step 2: Convert to fraction form
    565,225.92/780,766.56 = 396,020.16/x
  3. Step 3: Cross multiply
    565,225.92x = 780,766.56 × 396,020.16
  4. Step 4: Simplify right side
    565,225.92x = 309,199,298,013.85
  5. Step 5: Solve for x
    x = 309,199,298,013.85/565,225.92
  6. Step 6: Final answer
    x = 547,036.66

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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.