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Finding the Fourth Proportional to 291,751, 402,616.38 and 157,615

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Solution

The fourth proportional to 291,751, 402,616.38 and 157,615 is: 217,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,751 : 402,616.38 = 157,615 : x
  2. Step 2: Convert to fraction form
    291,751/402,616.38 = 157,615/x
  3. Step 3: Cross multiply
    291,751x = 402,616.38 × 157,615
  4. Step 4: Simplify right side
    291,751x = 63,458,380,733.70
  5. Step 5: Solve for x
    x = 63,458,380,733.70/291,751
  6. Step 6: Final answer
    x = 217,508.70

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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.