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Finding the Fourth Proportional to 881,138, 1,216,074.12 and 523,442

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Solution

The fourth proportional to 881,138, 1,216,074.12 and 523,442 is: 722,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,138 : 1,216,074.12 = 523,442 : x
  2. Step 2: Convert to fraction form
    881,138/1,216,074.12 = 523,442/x
  3. Step 3: Cross multiply
    881,138x = 1,216,074.12 × 523,442
  4. Step 4: Simplify right side
    881,138x = 636,544,269,521.04
  5. Step 5: Solve for x
    x = 636,544,269,521.04/881,138
  6. Step 6: Final answer
    x = 722,411.55

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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.