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Finding the Fourth Proportional to 381,622.30, 572,449.02 and 97,320.22

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Solution

The fourth proportional to 381,622.30, 572,449.02 and 97,320.22 is: 145,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,622.30 : 572,449.02 = 97,320.22 : x
  2. Step 2: Convert to fraction form
    381,622.30/572,449.02 = 97,320.22/x
  3. Step 3: Cross multiply
    381,622.30x = 572,449.02 × 97,320.22
  4. Step 4: Simplify right side
    381,622.30x = 55,710,864,565.18
  5. Step 5: Solve for x
    x = 55,710,864,565.18/381,622.30
  6. Step 6: Final answer
    x = 145,984.30

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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.