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Finding the Fourth Proportional to 561,691.26, 774,687.78 and 424,328.22

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Solution

The fourth proportional to 561,691.26, 774,687.78 and 424,328.22 is: 585,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,691.26 : 774,687.78 = 424,328.22 : x
  2. Step 2: Convert to fraction form
    561,691.26/774,687.78 = 424,328.22/x
  3. Step 3: Cross multiply
    561,691.26x = 774,687.78 × 424,328.22
  4. Step 4: Simplify right side
    561,691.26x = 328,721,886,743.15
  5. Step 5: Solve for x
    x = 328,721,886,743.15/561,691.26
  6. Step 6: Final answer
    x = 585,235.89

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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.