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Finding the Fourth Proportional to 317,197.20, 437,701.28 and 189,870

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Solution

The fourth proportional to 317,197.20, 437,701.28 and 189,870 is: 262,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,197.20 : 437,701.28 = 189,870 : x
  2. Step 2: Convert to fraction form
    317,197.20/437,701.28 = 189,870/x
  3. Step 3: Cross multiply
    317,197.20x = 437,701.28 × 189,870
  4. Step 4: Simplify right side
    317,197.20x = 83,106,342,033.60
  5. Step 5: Solve for x
    x = 83,106,342,033.60/317,197.20
  6. Step 6: Final answer
    x = 262,002.13

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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.