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Finding the Fourth Proportional to 409,213.40, 564,742.88 and 248,075.24

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Solution

The fourth proportional to 409,213.40, 564,742.88 and 248,075.24 is: 342,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.40 : 564,742.88 = 248,075.24 : x
  2. Step 2: Convert to fraction form
    409,213.40/564,742.88 = 248,075.24/x
  3. Step 3: Cross multiply
    409,213.40x = 564,742.88 × 248,075.24
  4. Step 4: Simplify right side
    409,213.40x = 140,098,722,360.48
  5. Step 5: Solve for x
    x = 140,098,722,360.48/409,213.40
  6. Step 6: Final answer
    x = 342,361.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.