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Finding the Fourth Proportional to 542,824.67, 815,509.45 and 512,150.38

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Solution

The fourth proportional to 542,824.67, 815,509.45 and 512,150.38 is: 769,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,824.67 : 815,509.45 = 512,150.38 : x
  2. Step 2: Convert to fraction form
    542,824.67/815,509.45 = 512,150.38/x
  3. Step 3: Cross multiply
    542,824.67x = 815,509.45 × 512,150.38
  4. Step 4: Simplify right side
    542,824.67x = 417,663,474,711.09
  5. Step 5: Solve for x
    x = 417,663,474,711.09/542,824.67
  6. Step 6: Final answer
    x = 769,426.11

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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.