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Finding the Fourth Proportional to 284,022.40, 391,944.36 and 156,697.96

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Solution

The fourth proportional to 284,022.40, 391,944.36 and 156,697.96 is: 216,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,022.40 : 391,944.36 = 156,697.96 : x
  2. Step 2: Convert to fraction form
    284,022.40/391,944.36 = 156,697.96/x
  3. Step 3: Cross multiply
    284,022.40x = 391,944.36 × 156,697.96
  4. Step 4: Simplify right side
    284,022.40x = 61,416,881,645.51
  5. Step 5: Solve for x
    x = 61,416,881,645.51/284,022.40
  6. Step 6: Final answer
    x = 216,239.57

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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.