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Finding the Fourth Proportional to 465,189.66, 642,061.71 and 283,862.70

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Solution

The fourth proportional to 465,189.66, 642,061.71 and 283,862.70 is: 391,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,189.66 : 642,061.71 = 283,862.70 : x
  2. Step 2: Convert to fraction form
    465,189.66/642,061.71 = 283,862.70/x
  3. Step 3: Cross multiply
    465,189.66x = 642,061.71 × 283,862.70
  4. Step 4: Simplify right side
    465,189.66x = 182,257,370,567.22
  5. Step 5: Solve for x
    x = 182,257,370,567.22/465,189.66
  6. Step 6: Final answer
    x = 391,791.53

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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.