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Finding the Fourth Proportional to 381,718.42, 572,490.12 and 171,416.50

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Solution

The fourth proportional to 381,718.42, 572,490.12 and 171,416.50 is: 257,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,718.42 : 572,490.12 = 171,416.50 : x
  2. Step 2: Convert to fraction form
    381,718.42/572,490.12 = 171,416.50/x
  3. Step 3: Cross multiply
    381,718.42x = 572,490.12 × 171,416.50
  4. Step 4: Simplify right side
    381,718.42x = 98,134,252,654.98
  5. Step 5: Solve for x
    x = 98,134,252,654.98/381,718.42
  6. Step 6: Final answer
    x = 257,085.45

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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.