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Finding the Fourth Proportional to 291,755.25, 402,622.29 and 157,619.25

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Solution

The fourth proportional to 291,755.25, 402,622.29 and 157,619.25 is: 217,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,755.25 : 402,622.29 = 157,619.25 : x
  2. Step 2: Convert to fraction form
    291,755.25/402,622.29 = 157,619.25/x
  3. Step 3: Cross multiply
    291,755.25x = 402,622.29 × 157,619.25
  4. Step 4: Simplify right side
    291,755.25x = 63,461,023,383.08
  5. Step 5: Solve for x
    x = 63,461,023,383.08/291,755.25
  6. Step 6: Final answer
    x = 217,514.59

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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.