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Finding the Fourth Proportional to 687,085.75, 948,180.72 and 381,168.19

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Solution

The fourth proportional to 687,085.75, 948,180.72 and 381,168.19 is: 526,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,085.75 : 948,180.72 = 381,168.19 : x
  2. Step 2: Convert to fraction form
    687,085.75/948,180.72 = 381,168.19/x
  3. Step 3: Cross multiply
    687,085.75x = 948,180.72 × 381,168.19
  4. Step 4: Simplify right side
    687,085.75x = 361,416,328,835.30
  5. Step 5: Solve for x
    x = 361,416,328,835.30/687,085.75
  6. Step 6: Final answer
    x = 526,013.43

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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.