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Finding the Fourth Proportional to 315,717.21, 435,666.87 and 172,446.84

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Solution

The fourth proportional to 315,717.21, 435,666.87 and 172,446.84 is: 237,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,717.21 : 435,666.87 = 172,446.84 : x
  2. Step 2: Convert to fraction form
    315,717.21/435,666.87 = 172,446.84/x
  3. Step 3: Cross multiply
    315,717.21x = 435,666.87 × 172,446.84
  4. Step 4: Simplify right side
    315,717.21x = 75,129,375,024.19
  5. Step 5: Solve for x
    x = 75,129,375,024.19/315,717.21
  6. Step 6: Final answer
    x = 237,964.14

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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.