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Finding the Fourth Proportional to 542,946.40, 815,197.20 and 306,750.40

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Solution

The fourth proportional to 542,946.40, 815,197.20 and 306,750.40 is: 460,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,946.40 : 815,197.20 = 306,750.40 : x
  2. Step 2: Convert to fraction form
    542,946.40/815,197.20 = 306,750.40/x
  3. Step 3: Cross multiply
    542,946.40x = 815,197.20 × 306,750.40
  4. Step 4: Simplify right side
    542,946.40x = 250,062,067,178.88
  5. Step 5: Solve for x
    x = 250,062,067,178.88/542,946.40
  6. Step 6: Final answer
    x = 460,564.92

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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.