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Finding the Fourth Proportional to 305,536.90, 457,691.90 and 155,771.14

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Solution

The fourth proportional to 305,536.90, 457,691.90 and 155,771.14 is: 233,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,536.90 : 457,691.90 = 155,771.14 : x
  2. Step 2: Convert to fraction form
    305,536.90/457,691.90 = 155,771.14/x
  3. Step 3: Cross multiply
    305,536.90x = 457,691.90 × 155,771.14
  4. Step 4: Simplify right side
    305,536.90x = 71,295,189,031.77
  5. Step 5: Solve for x
    x = 71,295,189,031.77/305,536.90
  6. Step 6: Final answer
    x = 233,343.96

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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.