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Finding the Fourth Proportional to 642,725.52, 963,894.18 and 193,327.08

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Solution

The fourth proportional to 642,725.52, 963,894.18 and 193,327.08 is: 289,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,725.52 : 963,894.18 = 193,327.08 : x
  2. Step 2: Convert to fraction form
    642,725.52/963,894.18 = 193,327.08/x
  3. Step 3: Cross multiply
    642,725.52x = 963,894.18 × 193,327.08
  4. Step 4: Simplify right side
    642,725.52x = 186,346,847,248.39
  5. Step 5: Solve for x
    x = 186,346,847,248.39/642,725.52
  6. Step 6: Final answer
    x = 289,932.24

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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.