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Finding the Fourth Proportional to 381,471.44, 526,427.17 and 209,384.30

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Solution

The fourth proportional to 381,471.44, 526,427.17 and 209,384.30 is: 288,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,471.44 : 526,427.17 = 209,384.30 : x
  2. Step 2: Convert to fraction form
    381,471.44/526,427.17 = 209,384.30/x
  3. Step 3: Cross multiply
    381,471.44x = 526,427.17 × 209,384.30
  4. Step 4: Simplify right side
    381,471.44x = 110,225,583,444.51
  5. Step 5: Solve for x
    x = 110,225,583,444.51/381,471.44
  6. Step 6: Final answer
    x = 288,948.46

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1.5x scale

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.