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Finding the Fourth Proportional to 642,282.22, 886,349.47 and 355,820.86

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Solution

The fourth proportional to 642,282.22, 886,349.47 and 355,820.86 is: 491,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,282.22 : 886,349.47 = 355,820.86 : x
  2. Step 2: Convert to fraction form
    642,282.22/886,349.47 = 355,820.86/x
  3. Step 3: Cross multiply
    642,282.22x = 886,349.47 × 355,820.86
  4. Step 4: Simplify right side
    642,282.22x = 315,381,626,244.20
  5. Step 5: Solve for x
    x = 315,381,626,244.20/642,282.22
  6. Step 6: Final answer
    x = 491,032.79

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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.