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Finding the Fourth Proportional to 564,042, 778,377.96 and 309,393.78

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Solution

The fourth proportional to 564,042, 778,377.96 and 309,393.78 is: 426,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,042 : 778,377.96 = 309,393.78 : x
  2. Step 2: Convert to fraction form
    564,042/778,377.96 = 309,393.78/x
  3. Step 3: Cross multiply
    564,042x = 778,377.96 × 309,393.78
  4. Step 4: Simplify right side
    564,042x = 240,825,299,313.09
  5. Step 5: Solve for x
    x = 240,825,299,313.09/564,042
  6. Step 6: Final answer
    x = 426,963.42

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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.