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Finding the Fourth Proportional to 252,413.70, 378,538.57 and 83,888.74

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Solution

The fourth proportional to 252,413.70, 378,538.57 and 83,888.74 is: 125,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,413.70 : 378,538.57 = 83,888.74 : x
  2. Step 2: Convert to fraction form
    252,413.70/378,538.57 = 83,888.74/x
  3. Step 3: Cross multiply
    252,413.70x = 378,538.57 × 83,888.74
  4. Step 4: Simplify right side
    252,413.70x = 31,755,123,678.70
  5. Step 5: Solve for x
    x = 31,755,123,678.70/252,413.70
  6. Step 6: Final answer
    x = 125,805.86

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1.5x scale

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.