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Finding the Fourth Proportional to 1,315,972.16, 1,974,559.20 and 716,033.60

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Solution

The fourth proportional to 1,315,972.16, 1,974,559.20 and 716,033.60 is: 1,074,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,972.16 : 1,974,559.20 = 716,033.60 : x
  2. Step 2: Convert to fraction form
    1,315,972.16/1,974,559.20 = 716,033.60/x
  3. Step 3: Cross multiply
    1,315,972.16x = 1,974,559.20 × 716,033.60
  4. Step 4: Simplify right side
    1,315,972.16x = 1,413,850,732,389.12
  5. Step 5: Solve for x
    x = 1,413,850,732,389.12/1,315,972.16
  6. Step 6: Final answer
    x = 1,074,377.39

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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.