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Finding the Fourth Proportional to 687,308.76, 948,491.46 and 381,386.34

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Solution

The fourth proportional to 687,308.76, 948,491.46 and 381,386.34 is: 526,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,308.76 : 948,491.46 = 381,386.34 : x
  2. Step 2: Convert to fraction form
    687,308.76/948,491.46 = 381,386.34/x
  3. Step 3: Cross multiply
    687,308.76x = 948,491.46 × 381,386.34
  4. Step 4: Simplify right side
    687,308.76x = 361,741,686,450.66
  5. Step 5: Solve for x
    x = 361,741,686,450.66/687,308.76
  6. Step 6: Final answer
    x = 526,316.13

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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.