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Finding the Fourth Proportional to 1,315,974.16, 1,974,562.20 and 716,035.60

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Solution

The fourth proportional to 1,315,974.16, 1,974,562.20 and 716,035.60 is: 1,074,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,974.16 : 1,974,562.20 = 716,035.60 : x
  2. Step 2: Convert to fraction form
    1,315,974.16/1,974,562.20 = 716,035.60/x
  3. Step 3: Cross multiply
    1,315,974.16x = 1,974,562.20 × 716,035.60
  4. Step 4: Simplify right side
    1,315,974.16x = 1,413,856,829,614.32
  5. Step 5: Solve for x
    x = 1,413,856,829,614.32/1,315,974.16
  6. Step 6: Final answer
    x = 1,074,380.39

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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.