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Finding the Fourth Proportional to 612,854.52, 919,281.96 and 192,163.20

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Solution

The fourth proportional to 612,854.52, 919,281.96 and 192,163.20 is: 288,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,854.52 : 919,281.96 = 192,163.20 : x
  2. Step 2: Convert to fraction form
    612,854.52/919,281.96 = 192,163.20/x
  3. Step 3: Cross multiply
    612,854.52x = 919,281.96 × 192,163.20
  4. Step 4: Simplify right side
    612,854.52x = 176,652,163,135.87
  5. Step 5: Solve for x
    x = 176,652,163,135.87/612,854.52
  6. Step 6: Final answer
    x = 288,244.86

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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.