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Finding the Fourth Proportional to 203,584.40, 304,685.40 and 178,701.20

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Solution

The fourth proportional to 203,584.40, 304,685.40 and 178,701.20 is: 267,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,584.40 : 304,685.40 = 178,701.20 : x
  2. Step 2: Convert to fraction form
    203,584.40/304,685.40 = 178,701.20/x
  3. Step 3: Cross multiply
    203,584.40x = 304,685.40 × 178,701.20
  4. Step 4: Simplify right side
    203,584.40x = 54,447,646,602.48
  5. Step 5: Solve for x
    x = 54,447,646,602.48/203,584.40
  6. Step 6: Final answer
    x = 267,445.08

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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.