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Finding the Fourth Proportional to 565,941.96, 781,006.44 and 311,295

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Solution

The fourth proportional to 565,941.96, 781,006.44 and 311,295 is: 429,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,941.96 : 781,006.44 = 311,295 : x
  2. Step 2: Convert to fraction form
    565,941.96/781,006.44 = 311,295/x
  3. Step 3: Cross multiply
    565,941.96x = 781,006.44 × 311,295
  4. Step 4: Simplify right side
    565,941.96x = 243,123,399,739.80
  5. Step 5: Solve for x
    x = 243,123,399,739.80/565,941.96
  6. Step 6: Final answer
    x = 429,590.69

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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.