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Finding the Fourth Proportional to 642,404.64, 963,657.12 and 193,090.56

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Solution

The fourth proportional to 642,404.64, 963,657.12 and 193,090.56 is: 289,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,404.64 : 963,657.12 = 193,090.56 : x
  2. Step 2: Convert to fraction form
    642,404.64/963,657.12 = 193,090.56/x
  3. Step 3: Cross multiply
    642,404.64x = 963,657.12 × 193,090.56
  4. Step 4: Simplify right side
    642,404.64x = 186,073,092,948.79
  5. Step 5: Solve for x
    x = 186,073,092,948.79/642,404.64
  6. Step 6: Final answer
    x = 289,650.92

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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.