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Finding the Fourth Proportional to 642,820.40, 964,057.80 and 193,540.40

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Solution

The fourth proportional to 642,820.40, 964,057.80 and 193,540.40 is: 290,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,820.40 : 964,057.80 = 193,540.40 : x
  2. Step 2: Convert to fraction form
    642,820.40/964,057.80 = 193,540.40/x
  3. Step 3: Cross multiply
    642,820.40x = 964,057.80 × 193,540.40
  4. Step 4: Simplify right side
    642,820.40x = 186,584,132,235.12
  5. Step 5: Solve for x
    x = 186,584,132,235.12/642,820.40
  6. Step 6: Final answer
    x = 290,258.57

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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.