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Finding the Fourth Proportional to 564,114.89, 778,465.19 and 309,463.85

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Solution

The fourth proportional to 564,114.89, 778,465.19 and 309,463.85 is: 427,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,114.89 : 778,465.19 = 309,463.85 : x
  2. Step 2: Convert to fraction form
    564,114.89/778,465.19 = 309,463.85/x
  3. Step 3: Cross multiply
    564,114.89x = 778,465.19 × 309,463.85
  4. Step 4: Simplify right side
    564,114.89x = 240,906,829,348.74
  5. Step 5: Solve for x
    x = 240,906,829,348.74/564,114.89
  6. Step 6: Final answer
    x = 427,052.78

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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.