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Finding the Fourth Proportional to 564,791.95, 779,418.31 and 310,148.47

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Solution

The fourth proportional to 564,791.95, 779,418.31 and 310,148.47 is: 428,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,791.95 : 779,418.31 = 310,148.47 : x
  2. Step 2: Convert to fraction form
    564,791.95/779,418.31 = 310,148.47/x
  3. Step 3: Cross multiply
    564,791.95x = 779,418.31 × 310,148.47
  4. Step 4: Simplify right side
    564,791.95x = 241,735,393,612.57
  5. Step 5: Solve for x
    x = 241,735,393,612.57/564,791.95
  6. Step 6: Final answer
    x = 428,007.86

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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.