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Finding the Fourth Proportional to 291,781.71, 402,793.22 and 205,810.74

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Solution

The fourth proportional to 291,781.71, 402,793.22 and 205,810.74 is: 284,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,781.71 : 402,793.22 = 205,810.74 : x
  2. Step 2: Convert to fraction form
    291,781.71/402,793.22 = 205,810.74/x
  3. Step 3: Cross multiply
    291,781.71x = 402,793.22 × 205,810.74
  4. Step 4: Simplify right side
    291,781.71x = 82,899,171,189.71
  5. Step 5: Solve for x
    x = 82,899,171,189.71/291,781.71
  6. Step 6: Final answer
    x = 284,113.67

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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.