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Finding the Fourth Proportional to 1,412,314.31, 1,948,979.90 and 767,696.15

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Solution

The fourth proportional to 1,412,314.31, 1,948,979.90 and 767,696.15 is: 1,059,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,314.31 : 1,948,979.90 = 767,696.15 : x
  2. Step 2: Convert to fraction form
    1,412,314.31/1,948,979.90 = 767,696.15/x
  3. Step 3: Cross multiply
    1,412,314.31x = 1,948,979.90 × 767,696.15
  4. Step 4: Simplify right side
    1,412,314.31x = 1,496,224,358,865.69
  5. Step 5: Solve for x
    x = 1,496,224,358,865.69/1,412,314.31
  6. Step 6: Final answer
    x = 1,059,413.16

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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.