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Finding the Fourth Proportional to 687,478.12, 948,705.54 and 381,536.74

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Solution

The fourth proportional to 687,478.12, 948,705.54 and 381,536.74 is: 526,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,478.12 : 948,705.54 = 381,536.74 : x
  2. Step 2: Convert to fraction form
    687,478.12/948,705.54 = 381,536.74/x
  3. Step 3: Cross multiply
    687,478.12x = 948,705.54 × 381,536.74
  4. Step 4: Simplify right side
    687,478.12x = 361,966,013,370.19
  5. Step 5: Solve for x
    x = 361,966,013,370.19/687,478.12
  6. Step 6: Final answer
    x = 526,512.77

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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.