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Finding the Fourth Proportional to 542,830.40, 815,023.20 and 306,634.40

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Solution

The fourth proportional to 542,830.40, 815,023.20 and 306,634.40 is: 460,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,830.40 : 815,023.20 = 306,634.40 : x
  2. Step 2: Convert to fraction form
    542,830.40/815,023.20 = 306,634.40/x
  3. Step 3: Cross multiply
    542,830.40x = 815,023.20 × 306,634.40
  4. Step 4: Simplify right side
    542,830.40x = 249,914,149,918.08
  5. Step 5: Solve for x
    x = 249,914,149,918.08/542,830.40
  6. Step 6: Final answer
    x = 460,390.85

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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.