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Finding the Fourth Proportional to 291,908.75, 402,833.86 and 157,772.75

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Solution

The fourth proportional to 291,908.75, 402,833.86 and 157,772.75 is: 217,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,908.75 : 402,833.86 = 157,772.75 : x
  2. Step 2: Convert to fraction form
    291,908.75/402,833.86 = 157,772.75/x
  3. Step 3: Cross multiply
    291,908.75x = 402,833.86 × 157,772.75
  4. Step 4: Simplify right side
    291,908.75x = 63,556,203,476.71
  5. Step 5: Solve for x
    x = 63,556,203,476.71/291,908.75
  6. Step 6: Final answer
    x = 217,726.27

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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.