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Finding the Fourth Proportional to 291,416, 437,227.68 and 143,775.68

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Solution

The fourth proportional to 291,416, 437,227.68 and 143,775.68 is: 215,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,416 : 437,227.68 = 143,775.68 : x
  2. Step 2: Convert to fraction form
    291,416/437,227.68 = 143,775.68/x
  3. Step 3: Cross multiply
    291,416x = 437,227.68 × 143,775.68
  4. Step 4: Simplify right side
    291,416x = 62,862,707,006.82
  5. Step 5: Solve for x
    x = 62,862,707,006.82/291,416
  6. Step 6: Final answer
    x = 215,714.67

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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.