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Finding the Fourth Proportional to 465,328.80, 698,122.80 and 228,679.20

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Solution

The fourth proportional to 465,328.80, 698,122.80 and 228,679.20 is: 343,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,328.80 : 698,122.80 = 228,679.20 : x
  2. Step 2: Convert to fraction form
    465,328.80/698,122.80 = 228,679.20/x
  3. Step 3: Cross multiply
    465,328.80x = 698,122.80 × 228,679.20
  4. Step 4: Simplify right side
    465,328.80x = 159,646,163,405.76
  5. Step 5: Solve for x
    x = 159,646,163,405.76/465,328.80
  6. Step 6: Final answer
    x = 343,082.49

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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.