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Finding the Fourth Proportional to 284,413.90, 426,691.02 and 84,733.50

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Solution

The fourth proportional to 284,413.90, 426,691.02 and 84,733.50 is: 127,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,413.90 : 426,691.02 = 84,733.50 : x
  2. Step 2: Convert to fraction form
    284,413.90/426,691.02 = 84,733.50/x
  3. Step 3: Cross multiply
    284,413.90x = 426,691.02 × 84,733.50
  4. Step 4: Simplify right side
    284,413.90x = 36,155,023,543.17
  5. Step 5: Solve for x
    x = 36,155,023,543.17/284,413.90
  6. Step 6: Final answer
    x = 127,121.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.