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Finding the Fourth Proportional to 678,074, 1,017,256.80 and 228,806

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Solution

The fourth proportional to 678,074, 1,017,256.80 and 228,806 is: 343,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,074 : 1,017,256.80 = 228,806 : x
  2. Step 2: Convert to fraction form
    678,074/1,017,256.80 = 228,806/x
  3. Step 3: Cross multiply
    678,074x = 1,017,256.80 × 228,806
  4. Step 4: Simplify right side
    678,074x = 232,754,459,380.80
  5. Step 5: Solve for x
    x = 232,754,459,380.80/678,074
  6. Step 6: Final answer
    x = 343,258.20

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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.