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Finding the Fourth Proportional to 274,871.70, 412,380.45 and 97,360.20

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Solution

The fourth proportional to 274,871.70, 412,380.45 and 97,360.20 is: 146,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871.70 : 412,380.45 = 97,360.20 : x
  2. Step 2: Convert to fraction form
    274,871.70/412,380.45 = 97,360.20/x
  3. Step 3: Cross multiply
    274,871.70x = 412,380.45 × 97,360.20
  4. Step 4: Simplify right side
    274,871.70x = 40,149,443,088.09
  5. Step 5: Solve for x
    x = 40,149,443,088.09/274,871.70
  6. Step 6: Final answer
    x = 146,066.12

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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.