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Finding the Fourth Proportional to 381,247.32, 571,875.30 and 131,871

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Solution

The fourth proportional to 381,247.32, 571,875.30 and 131,871 is: 197,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,247.32 : 571,875.30 = 131,871 : x
  2. Step 2: Convert to fraction form
    381,247.32/571,875.30 = 131,871/x
  3. Step 3: Cross multiply
    381,247.32x = 571,875.30 × 131,871
  4. Step 4: Simplify right side
    381,247.32x = 75,413,767,686.30
  5. Step 5: Solve for x
    x = 75,413,767,686.30/381,247.32
  6. Step 6: Final answer
    x = 197,807.99

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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.