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Finding the Fourth Proportional to 412,365.72, 617,498.55 and 271,697.88

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Solution

The fourth proportional to 412,365.72, 617,498.55 and 271,697.88 is: 406,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,365.72 : 617,498.55 = 271,697.88 : x
  2. Step 2: Convert to fraction form
    412,365.72/617,498.55 = 271,697.88/x
  3. Step 3: Cross multiply
    412,365.72x = 617,498.55 × 271,697.88
  4. Step 4: Simplify right side
    412,365.72x = 167,773,046,938.07
  5. Step 5: Solve for x
    x = 167,773,046,938.07/412,365.72
  6. Step 6: Final answer
    x = 406,854.98

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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.