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Finding the Fourth Proportional to 291,690, 402,567.84 and 164,388.78

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Solution

The fourth proportional to 291,690, 402,567.84 and 164,388.78 is: 226,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,690 : 402,567.84 = 164,388.78 : x
  2. Step 2: Convert to fraction form
    291,690/402,567.84 = 164,388.78/x
  3. Step 3: Cross multiply
    291,690x = 402,567.84 × 164,388.78
  4. Step 4: Simplify right side
    291,690x = 66,177,636,084.84
  5. Step 5: Solve for x
    x = 66,177,636,084.84/291,690
  6. Step 6: Final answer
    x = 226,876.60

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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.