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Finding the Fourth Proportional to 291,955.90, 402,899.25 and 157,819.90

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Solution

The fourth proportional to 291,955.90, 402,899.25 and 157,819.90 is: 217,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,955.90 : 402,899.25 = 157,819.90 : x
  2. Step 2: Convert to fraction form
    291,955.90/402,899.25 = 157,819.90/x
  3. Step 3: Cross multiply
    291,955.90x = 402,899.25 × 157,819.90
  4. Step 4: Simplify right side
    291,955.90x = 63,585,519,345.08
  5. Step 5: Solve for x
    x = 63,585,519,345.08/291,955.90
  6. Step 6: Final answer
    x = 217,791.52

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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.