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Finding the Fourth Proportional to 254,463.40, 381,695.10 and 149,228.20

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Solution

The fourth proportional to 254,463.40, 381,695.10 and 149,228.20 is: 223,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,463.40 : 381,695.10 = 149,228.20 : x
  2. Step 2: Convert to fraction form
    254,463.40/381,695.10 = 149,228.20/x
  3. Step 3: Cross multiply
    254,463.40x = 381,695.10 × 149,228.20
  4. Step 4: Simplify right side
    254,463.40x = 56,959,672,721.82
  5. Step 5: Solve for x
    x = 56,959,672,721.82/254,463.40
  6. Step 6: Final answer
    x = 223,842.30

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1.5x scale

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.