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Finding the Fourth Proportional to 274,637.40, 412,215.30 and 169,661.40

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Solution

The fourth proportional to 274,637.40, 412,215.30 and 169,661.40 is: 254,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,637.40 : 412,215.30 = 169,661.40 : x
  2. Step 2: Convert to fraction form
    274,637.40/412,215.30 = 169,661.40/x
  3. Step 3: Cross multiply
    274,637.40x = 412,215.30 × 169,661.40
  4. Step 4: Simplify right side
    274,637.40x = 69,937,024,899.42
  5. Step 5: Solve for x
    x = 69,937,024,899.42/274,637.40
  6. Step 6: Final answer
    x = 254,652.22

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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.