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Finding the Fourth Proportional to 291,678, 402,515.91 and 157,542

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Solution

The fourth proportional to 291,678, 402,515.91 and 157,542 is: 217,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,678 : 402,515.91 = 157,542 : x
  2. Step 2: Convert to fraction form
    291,678/402,515.91 = 157,542/x
  3. Step 3: Cross multiply
    291,678x = 402,515.91 × 157,542
  4. Step 4: Simplify right side
    291,678x = 63,413,161,493.22
  5. Step 5: Solve for x
    x = 63,413,161,493.22/291,678
  6. Step 6: Final answer
    x = 217,408.11

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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.