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Finding the Fourth Proportional to 687,494.63, 948,728.32 and 381,553.07

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Solution

The fourth proportional to 687,494.63, 948,728.32 and 381,553.07 is: 526,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,494.63 : 948,728.32 = 381,553.07 : x
  2. Step 2: Convert to fraction form
    687,494.63/948,728.32 = 381,553.07/x
  3. Step 3: Cross multiply
    687,494.63x = 948,728.32 × 381,553.07
  4. Step 4: Simplify right side
    687,494.63x = 361,990,204,509.88
  5. Step 5: Solve for x
    x = 361,990,204,509.88/687,494.63
  6. Step 6: Final answer
    x = 526,535.32

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Double scale
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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.