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Finding the Fourth Proportional to 564,042.75, 778,379 and 309,394.55

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Solution

The fourth proportional to 564,042.75, 778,379 and 309,394.55 is: 426,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,042.75 : 778,379 = 309,394.55 : x
  2. Step 2: Convert to fraction form
    564,042.75/778,379 = 309,394.55/x
  3. Step 3: Cross multiply
    564,042.75x = 778,379 × 309,394.55
  4. Step 4: Simplify right side
    564,042.75x = 240,826,220,434.45
  5. Step 5: Solve for x
    x = 240,826,220,434.45/564,042.75
  6. Step 6: Final answer
    x = 426,964.48

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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.