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Finding the Fourth Proportional to 542,945.40, 815,195.70 and 306,749.40

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Solution

The fourth proportional to 542,945.40, 815,195.70 and 306,749.40 is: 460,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,945.40 : 815,195.70 = 306,749.40 : x
  2. Step 2: Convert to fraction form
    542,945.40/815,195.70 = 306,749.40/x
  3. Step 3: Cross multiply
    542,945.40x = 815,195.70 × 306,749.40
  4. Step 4: Simplify right side
    542,945.40x = 250,060,791,857.58
  5. Step 5: Solve for x
    x = 250,060,791,857.58/542,945.40
  6. Step 6: Final answer
    x = 460,563.42

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1.5x scale

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.