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Finding the Fourth Proportional to 1,292,917.70, 1,784,226.33 and 749,368.78

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Solution

The fourth proportional to 1,292,917.70, 1,784,226.33 and 749,368.78 is: 1,034,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,917.70 : 1,784,226.33 = 749,368.78 : x
  2. Step 2: Convert to fraction form
    1,292,917.70/1,784,226.33 = 749,368.78/x
  3. Step 3: Cross multiply
    1,292,917.70x = 1,784,226.33 × 749,368.78
  4. Step 4: Simplify right side
    1,292,917.70x = 1,337,043,508,155.98
  5. Step 5: Solve for x
    x = 1,337,043,508,155.98/1,292,917.70
  6. Step 6: Final answer
    x = 1,034,128.86

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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.