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Finding the Fourth Proportional to 381,322.89, 571,987.68 and 97,013.70

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Solution

The fourth proportional to 381,322.89, 571,987.68 and 97,013.70 is: 145,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,322.89 : 571,987.68 = 97,013.70 : x
  2. Step 2: Convert to fraction form
    381,322.89/571,987.68 = 97,013.70/x
  3. Step 3: Cross multiply
    381,322.89x = 571,987.68 × 97,013.70
  4. Step 4: Simplify right side
    381,322.89x = 55,490,640,827.41
  5. Step 5: Solve for x
    x = 55,490,640,827.41/381,322.89
  6. Step 6: Final answer
    x = 145,521.40

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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.