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Finding the Fourth Proportional to 381,697.92, 572,459.40 and 171,396

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Solution

The fourth proportional to 381,697.92, 572,459.40 and 171,396 is: 257,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.92 : 572,459.40 = 171,396 : x
  2. Step 2: Convert to fraction form
    381,697.92/572,459.40 = 171,396/x
  3. Step 3: Cross multiply
    381,697.92x = 572,459.40 × 171,396
  4. Step 4: Simplify right side
    381,697.92x = 98,117,251,322.40
  5. Step 5: Solve for x
    x = 98,117,251,322.40/381,697.92
  6. Step 6: Final answer
    x = 257,054.72

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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.