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Finding the Fourth Proportional to 291,781.62, 402,634.53 and 164,488.50

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Solution

The fourth proportional to 291,781.62, 402,634.53 and 164,488.50 is: 226,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,781.62 : 402,634.53 = 164,488.50 : x
  2. Step 2: Convert to fraction form
    291,781.62/402,634.53 = 164,488.50/x
  3. Step 3: Cross multiply
    291,781.62x = 402,634.53 × 164,488.50
  4. Step 4: Simplify right side
    291,781.62x = 66,228,749,887.91
  5. Step 5: Solve for x
    x = 66,228,749,887.91/291,781.62
  6. Step 6: Final answer
    x = 226,980.54

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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.