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Finding the Fourth Proportional to 1,299,542.05, 1,947,820.51 and 813,442.69

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Solution

The fourth proportional to 1,299,542.05, 1,947,820.51 and 813,442.69 is: 1,219,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,542.05 : 1,947,820.51 = 813,442.69 : x
  2. Step 2: Convert to fraction form
    1,299,542.05/1,947,820.51 = 813,442.69/x
  3. Step 3: Cross multiply
    1,299,542.05x = 1,947,820.51 × 813,442.69
  4. Step 4: Simplify right side
    1,299,542.05x = 1,584,440,355,291.57
  5. Step 5: Solve for x
    x = 1,584,440,355,291.57/1,299,542.05
  6. Step 6: Final answer
    x = 1,219,229.77

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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.