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Finding the Fourth Proportional to 219,213.40, 328,820.10 and 148,354.60

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Solution

The fourth proportional to 219,213.40, 328,820.10 and 148,354.60 is: 222,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,213.40 : 328,820.10 = 148,354.60 : x
  2. Step 2: Convert to fraction form
    219,213.40/328,820.10 = 148,354.60/x
  3. Step 3: Cross multiply
    219,213.40x = 328,820.10 × 148,354.60
  4. Step 4: Simplify right side
    219,213.40x = 48,781,974,407.46
  5. Step 5: Solve for x
    x = 48,781,974,407.46/219,213.40
  6. Step 6: Final answer
    x = 222,531.90

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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.