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Finding the Fourth Proportional to 687,309.76, 948,492.84 and 381,387.34

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Solution

The fourth proportional to 687,309.76, 948,492.84 and 381,387.34 is: 526,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,309.76 : 948,492.84 = 381,387.34 : x
  2. Step 2: Convert to fraction form
    687,309.76/948,492.84 = 381,387.34/x
  3. Step 3: Cross multiply
    687,309.76x = 948,492.84 × 381,387.34
  4. Step 4: Simplify right side
    687,309.76x = 361,743,161,256.65
  5. Step 5: Solve for x
    x = 361,743,161,256.65/687,309.76
  6. Step 6: Final answer
    x = 526,317.51

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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.