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Finding the Fourth Proportional to 687,478.17, 948,705.60 and 381,536.78

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Solution

The fourth proportional to 687,478.17, 948,705.60 and 381,536.78 is: 526,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,478.17 : 948,705.60 = 381,536.78 : x
  2. Step 2: Convert to fraction form
    687,478.17/948,705.60 = 381,536.78/x
  3. Step 3: Cross multiply
    687,478.17x = 948,705.60 × 381,536.78
  4. Step 4: Simplify right side
    687,478.17x = 361,966,083,594.50
  5. Step 5: Solve for x
    x = 361,966,083,594.50/687,478.17
  6. Step 6: Final answer
    x = 526,512.84

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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.