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Finding the Fourth Proportional to 342,159.96, 512,978.30 and 207,194.66

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Solution

The fourth proportional to 342,159.96, 512,978.30 and 207,194.66 is: 310,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,159.96 : 512,978.30 = 207,194.66 : x
  2. Step 2: Convert to fraction form
    342,159.96/512,978.30 = 207,194.66/x
  3. Step 3: Cross multiply
    342,159.96x = 512,978.30 × 207,194.66
  4. Step 4: Simplify right side
    342,159.96x = 106,286,364,455.88
  5. Step 5: Solve for x
    x = 106,286,364,455.88/342,159.96
  6. Step 6: Final answer
    x = 310,633.55

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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.