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Finding the Fourth Proportional to 565,646.50, 780,607.57 and 307,540.82

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Solution

The fourth proportional to 565,646.50, 780,607.57 and 307,540.82 is: 424,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,646.50 : 780,607.57 = 307,540.82 : x
  2. Step 2: Convert to fraction form
    565,646.50/780,607.57 = 307,540.82/x
  3. Step 3: Cross multiply
    565,646.50x = 780,607.57 × 307,540.82
  4. Step 4: Simplify right side
    565,646.50x = 240,068,692,176.01
  5. Step 5: Solve for x
    x = 240,068,692,176.01/565,646.50
  6. Step 6: Final answer
    x = 424,414.70

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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.