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Finding the Fourth Proportional to 289,647.56, 399,294.78 and 203,343.76

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Solution

The fourth proportional to 289,647.56, 399,294.78 and 203,343.76 is: 280,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,647.56 : 399,294.78 = 203,343.76 : x
  2. Step 2: Convert to fraction form
    289,647.56/399,294.78 = 203,343.76/x
  3. Step 3: Cross multiply
    289,647.56x = 399,294.78 × 203,343.76
  4. Step 4: Simplify right side
    289,647.56x = 81,194,101,913.57
  5. Step 5: Solve for x
    x = 81,194,101,913.57/289,647.56
  6. Step 6: Final answer
    x = 280,320.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.