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Finding the Fourth Proportional to 318,272.80, 477,409.20 and 96,656.80

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Solution

The fourth proportional to 318,272.80, 477,409.20 and 96,656.80 is: 144,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,272.80 : 477,409.20 = 96,656.80 : x
  2. Step 2: Convert to fraction form
    318,272.80/477,409.20 = 96,656.80/x
  3. Step 3: Cross multiply
    318,272.80x = 477,409.20 × 96,656.80
  4. Step 4: Simplify right side
    318,272.80x = 46,144,845,562.56
  5. Step 5: Solve for x
    x = 46,144,845,562.56/318,272.80
  6. Step 6: Final answer
    x = 144,985.20

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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.