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Finding the Fourth Proportional to 318,443.28, 477,647.64 and 96,810

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Solution

The fourth proportional to 318,443.28, 477,647.64 and 96,810 is: 145,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,443.28 : 477,647.64 = 96,810 : x
  2. Step 2: Convert to fraction form
    318,443.28/477,647.64 = 96,810/x
  3. Step 3: Cross multiply
    318,443.28x = 477,647.64 × 96,810
  4. Step 4: Simplify right side
    318,443.28x = 46,241,068,028.40
  5. Step 5: Solve for x
    x = 46,241,068,028.40/318,443.28
  6. Step 6: Final answer
    x = 145,209.75

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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.