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Finding the Fourth Proportional to 1,295,129.10, 1,942,693.65 and 1,011,693.90

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Solution

The fourth proportional to 1,295,129.10, 1,942,693.65 and 1,011,693.90 is: 1,517,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,129.10 : 1,942,693.65 = 1,011,693.90 : x
  2. Step 2: Convert to fraction form
    1,295,129.10/1,942,693.65 = 1,011,693.90/x
  3. Step 3: Cross multiply
    1,295,129.10x = 1,942,693.65 × 1,011,693.90
  4. Step 4: Simplify right side
    1,295,129.10x = 1,965,411,315,273.74
  5. Step 5: Solve for x
    x = 1,965,411,315,273.74/1,295,129.10
  6. Step 6: Final answer
    x = 1,517,540.85

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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.