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Finding the Fourth Proportional to 409,465.88, 564,762.13 and 271,395.10

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Solution

The fourth proportional to 409,465.88, 564,762.13 and 271,395.10 is: 374,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,465.88 : 564,762.13 = 271,395.10 : x
  2. Step 2: Convert to fraction form
    409,465.88/564,762.13 = 271,395.10/x
  3. Step 3: Cross multiply
    409,465.88x = 564,762.13 × 271,395.10
  4. Step 4: Simplify right side
    409,465.88x = 153,273,674,747.56
  5. Step 5: Solve for x
    x = 153,273,674,747.56/409,465.88
  6. Step 6: Final answer
    x = 374,325.88

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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.