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Finding the Fourth Proportional to 291,960.90, 402,906.15 and 157,824.90

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Solution

The fourth proportional to 291,960.90, 402,906.15 and 157,824.90 is: 217,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,960.90 : 402,906.15 = 157,824.90 : x
  2. Step 2: Convert to fraction form
    291,960.90/402,906.15 = 157,824.90/x
  3. Step 3: Cross multiply
    291,960.90x = 402,906.15 × 157,824.90
  4. Step 4: Simplify right side
    291,960.90x = 63,588,622,833.14
  5. Step 5: Solve for x
    x = 63,588,622,833.14/291,960.90
  6. Step 6: Final answer
    x = 217,798.42

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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.