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Finding the Fourth Proportional to 316,900.89, 475,031.29 and 198,655.11

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Solution

The fourth proportional to 316,900.89, 475,031.29 and 198,655.11 is: 297,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,900.89 : 475,031.29 = 198,655.11 : x
  2. Step 2: Convert to fraction form
    316,900.89/475,031.29 = 198,655.11/x
  3. Step 3: Cross multiply
    316,900.89x = 475,031.29 × 198,655.11
  4. Step 4: Simplify right side
    316,900.89x = 94,367,393,168.39
  5. Step 5: Solve for x
    x = 94,367,393,168.39/316,900.89
  6. Step 6: Final answer
    x = 297,782.04

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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.