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Finding the Fourth Proportional to 564,042.25, 778,378.31 and 309,394.05

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Solution

The fourth proportional to 564,042.25, 778,378.31 and 309,394.05 is: 426,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,042.25 : 778,378.31 = 309,394.05 : x
  2. Step 2: Convert to fraction form
    564,042.25/778,378.31 = 309,394.05/x
  3. Step 3: Cross multiply
    564,042.25x = 778,378.31 × 309,394.05
  4. Step 4: Simplify right side
    564,042.25x = 240,825,617,763.06
  5. Step 5: Solve for x
    x = 240,825,617,763.06/564,042.25
  6. Step 6: Final answer
    x = 426,963.79

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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.