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Finding the Fourth Proportional to 320,428.80, 480,686.40 and 110,131.20

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Solution

The fourth proportional to 320,428.80, 480,686.40 and 110,131.20 is: 165,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,428.80 : 480,686.40 = 110,131.20 : x
  2. Step 2: Convert to fraction form
    320,428.80/480,686.40 = 110,131.20/x
  3. Step 3: Cross multiply
    320,428.80x = 480,686.40 × 110,131.20
  4. Step 4: Simplify right side
    320,428.80x = 52,938,570,055.68
  5. Step 5: Solve for x
    x = 52,938,570,055.68/320,428.80
  6. Step 6: Final answer
    x = 165,211.65

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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.