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Finding the Fourth Proportional to 381,423.08, 526,370.54 and 209,357.15

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Solution

The fourth proportional to 381,423.08, 526,370.54 and 209,357.15 is: 288,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,423.08 : 526,370.54 = 209,357.15 : x
  2. Step 2: Convert to fraction form
    381,423.08/526,370.54 = 209,357.15/x
  3. Step 3: Cross multiply
    381,423.08x = 526,370.54 × 209,357.15
  4. Step 4: Simplify right side
    381,423.08x = 110,199,432,419.72
  5. Step 5: Solve for x
    x = 110,199,432,419.72/381,423.08
  6. Step 6: Final answer
    x = 288,916.53

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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.