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Finding the Fourth Proportional to 331,333.40, 497,000.10 and 213,138.20

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Solution

The fourth proportional to 331,333.40, 497,000.10 and 213,138.20 is: 319,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,333.40 : 497,000.10 = 213,138.20 : x
  2. Step 2: Convert to fraction form
    331,333.40/497,000.10 = 213,138.20/x
  3. Step 3: Cross multiply
    331,333.40x = 497,000.10 × 213,138.20
  4. Step 4: Simplify right side
    331,333.40x = 105,929,706,713.82
  5. Step 5: Solve for x
    x = 105,929,706,713.82/331,333.40
  6. Step 6: Final answer
    x = 319,707.30

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1.5x scale

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.