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Finding the Fourth Proportional to 291,650, 437,552.76 and 143,906

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Solution

The fourth proportional to 291,650, 437,552.76 and 143,906 is: 215,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,650 : 437,552.76 = 143,906 : x
  2. Step 2: Convert to fraction form
    291,650/437,552.76 = 143,906/x
  3. Step 3: Cross multiply
    291,650x = 437,552.76 × 143,906
  4. Step 4: Simplify right side
    291,650x = 62,966,467,480.56
  5. Step 5: Solve for x
    x = 62,966,467,480.56/291,650
  6. Step 6: Final answer
    x = 215,897.37

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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.