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Finding the Fourth Proportional to 354,462.90, 532,083.15 and 221,493.30

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Solution

The fourth proportional to 354,462.90, 532,083.15 and 221,493.30 is: 332,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,462.90 : 532,083.15 = 221,493.30 : x
  2. Step 2: Convert to fraction form
    354,462.90/532,083.15 = 221,493.30/x
  3. Step 3: Cross multiply
    354,462.90x = 532,083.15 × 221,493.30
  4. Step 4: Simplify right side
    354,462.90x = 117,852,852,767.90
  5. Step 5: Solve for x
    x = 117,852,852,767.90/354,462.90
  6. Step 6: Final answer
    x = 332,482.90

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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.