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Finding the Fourth Proportional to 381,570.14, 526,460.10 and 238,475.54

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Solution

The fourth proportional to 381,570.14, 526,460.10 and 238,475.54 is: 329,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,570.14 : 526,460.10 = 238,475.54 : x
  2. Step 2: Convert to fraction form
    381,570.14/526,460.10 = 238,475.54/x
  3. Step 3: Cross multiply
    381,570.14x = 526,460.10 × 238,475.54
  4. Step 4: Simplify right side
    381,570.14x = 125,547,856,635.95
  5. Step 5: Solve for x
    x = 125,547,856,635.95/381,570.14
  6. Step 6: Final answer
    x = 329,029.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.