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Finding the Fourth Proportional to 299,432.90, 413,259 and 172,105.76

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Solution

The fourth proportional to 299,432.90, 413,259 and 172,105.76 is: 237,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.90 : 413,259 = 172,105.76 : x
  2. Step 2: Convert to fraction form
    299,432.90/413,259 = 172,105.76/x
  3. Step 3: Cross multiply
    299,432.90x = 413,259 × 172,105.76
  4. Step 4: Simplify right side
    299,432.90x = 71,124,254,271.84
  5. Step 5: Solve for x
    x = 71,124,254,271.84/299,432.90
  6. Step 6: Final answer
    x = 237,529.86

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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.