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Finding the Fourth Proportional to 838,851, 1,258,476 and 270,285.88

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Solution

The fourth proportional to 838,851, 1,258,476 and 270,285.88 is: 405,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,851 : 1,258,476 = 270,285.88 : x
  2. Step 2: Convert to fraction form
    838,851/1,258,476 = 270,285.88/x
  3. Step 3: Cross multiply
    838,851x = 1,258,476 × 270,285.88
  4. Step 4: Simplify right side
    838,851x = 340,148,293,118.88
  5. Step 5: Solve for x
    x = 340,148,293,118.88/838,851
  6. Step 6: Final answer
    x = 405,493.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.