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Finding the Fourth Proportional to 565,847.10, 780,874.49 and 307,729.60

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Solution

The fourth proportional to 565,847.10, 780,874.49 and 307,729.60 is: 424,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,847.10 : 780,874.49 = 307,729.60 : x
  2. Step 2: Convert to fraction form
    565,847.10/780,874.49 = 307,729.60/x
  3. Step 3: Cross multiply
    565,847.10x = 780,874.49 × 307,729.60
  4. Step 4: Simplify right side
    565,847.10x = 240,298,193,275.04
  5. Step 5: Solve for x
    x = 240,298,193,275.04/565,847.10
  6. Step 6: Final answer
    x = 424,669.83

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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.