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Finding the Fourth Proportional to 381,717.42, 572,488.62 and 171,415.50

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Solution

The fourth proportional to 381,717.42, 572,488.62 and 171,415.50 is: 257,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,717.42 : 572,488.62 = 171,415.50 : x
  2. Step 2: Convert to fraction form
    381,717.42/572,488.62 = 171,415.50/x
  3. Step 3: Cross multiply
    381,717.42x = 572,488.62 × 171,415.50
  4. Step 4: Simplify right side
    381,717.42x = 98,133,423,041.61
  5. Step 5: Solve for x
    x = 98,133,423,041.61/381,717.42
  6. Step 6: Final answer
    x = 257,083.95

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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.