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Finding the Fourth Proportional to 561,833.10, 843,349.32 and 242,142.71

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Solution

The fourth proportional to 561,833.10, 843,349.32 and 242,142.71 is: 363,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,833.10 : 843,349.32 = 242,142.71 : x
  2. Step 2: Convert to fraction form
    561,833.10/843,349.32 = 242,142.71/x
  3. Step 3: Cross multiply
    561,833.10x = 843,349.32 × 242,142.71
  4. Step 4: Simplify right side
    561,833.10x = 204,210,885,604.71
  5. Step 5: Solve for x
    x = 204,210,885,604.71/561,833.10
  6. Step 6: Final answer
    x = 363,472.51

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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.