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Finding the Fourth Proportional to 477,258.29, 658,577.50 and 280,993.80

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Solution

The fourth proportional to 477,258.29, 658,577.50 and 280,993.80 is: 387,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,258.29 : 658,577.50 = 280,993.80 : x
  2. Step 2: Convert to fraction form
    477,258.29/658,577.50 = 280,993.80/x
  3. Step 3: Cross multiply
    477,258.29x = 658,577.50 × 280,993.80
  4. Step 4: Simplify right side
    477,258.29x = 185,056,193,617.02
  5. Step 5: Solve for x
    x = 185,056,193,617.02/477,258.29
  6. Step 6: Final answer
    x = 387,748.51

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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.