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Finding the Fourth Proportional to 1,300,026.06, 1,948,982.13 and 542,431.80

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Solution

The fourth proportional to 1,300,026.06, 1,948,982.13 and 542,431.80 is: 813,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,026.06 : 1,948,982.13 = 542,431.80 : x
  2. Step 2: Convert to fraction form
    1,300,026.06/1,948,982.13 = 542,431.80/x
  3. Step 3: Cross multiply
    1,300,026.06x = 1,948,982.13 × 542,431.80
  4. Step 4: Simplify right side
    1,300,026.06x = 1,057,189,884,943.73
  5. Step 5: Solve for x
    x = 1,057,189,884,943.73/1,300,026.06
  6. Step 6: Final answer
    x = 813,206.69

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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.