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Finding the Fourth Proportional to 330,212.34, 495,192.72 and 140,553

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Solution

The fourth proportional to 330,212.34, 495,192.72 and 140,553 is: 210,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,212.34 : 495,192.72 = 140,553 : x
  2. Step 2: Convert to fraction form
    330,212.34/495,192.72 = 140,553/x
  3. Step 3: Cross multiply
    330,212.34x = 495,192.72 × 140,553
  4. Step 4: Simplify right side
    330,212.34x = 69,600,822,374.16
  5. Step 5: Solve for x
    x = 69,600,822,374.16/330,212.34
  6. Step 6: Final answer
    x = 210,775.96

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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.