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Finding the Fourth Proportional to 291,649, 437,551.26 and 143,905

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Solution

The fourth proportional to 291,649, 437,551.26 and 143,905 is: 215,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,649 : 437,551.26 = 143,905 : x
  2. Step 2: Convert to fraction form
    291,649/437,551.26 = 143,905/x
  3. Step 3: Cross multiply
    291,649x = 437,551.26 × 143,905
  4. Step 4: Simplify right side
    291,649x = 62,965,814,070.30
  5. Step 5: Solve for x
    x = 62,965,814,070.30/291,649
  6. Step 6: Final answer
    x = 215,895.87

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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.