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Finding the Fourth Proportional to 381,354.38, 526,267.62 and 209,275.28

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Solution

The fourth proportional to 381,354.38, 526,267.62 and 209,275.28 is: 288,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,354.38 : 526,267.62 = 209,275.28 : x
  2. Step 2: Convert to fraction form
    381,354.38/526,267.62 = 209,275.28/x
  3. Step 3: Cross multiply
    381,354.38x = 526,267.62 × 209,275.28
  4. Step 4: Simplify right side
    381,354.38x = 110,134,800,899.10
  5. Step 5: Solve for x
    x = 110,134,800,899.10/381,354.38
  6. Step 6: Final answer
    x = 288,799.10

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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.