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Finding the Fourth Proportional to 381,564.70, 526,561.32 and 238,407.76

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Solution

The fourth proportional to 381,564.70, 526,561.32 and 238,407.76 is: 329,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,564.70 : 526,561.32 = 238,407.76 : x
  2. Step 2: Convert to fraction form
    381,564.70/526,561.32 = 238,407.76/x
  3. Step 3: Cross multiply
    381,564.70x = 526,561.32 × 238,407.76
  4. Step 4: Simplify right side
    381,564.70x = 125,536,304,803.84
  5. Step 5: Solve for x
    x = 125,536,304,803.84/381,564.70
  6. Step 6: Final answer
    x = 329,003.98

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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.