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Finding the Fourth Proportional to 381,878.10, 572,428.35 and 224,025.30

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Solution

The fourth proportional to 381,878.10, 572,428.35 and 224,025.30 is: 335,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,878.10 : 572,428.35 = 224,025.30 : x
  2. Step 2: Convert to fraction form
    381,878.10/572,428.35 = 224,025.30/x
  3. Step 3: Cross multiply
    381,878.10x = 572,428.35 × 224,025.30
  4. Step 4: Simplify right side
    381,878.10x = 128,238,432,837.26
  5. Step 5: Solve for x
    x = 128,238,432,837.26/381,878.10
  6. Step 6: Final answer
    x = 335,809.86

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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.