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Finding the Fourth Proportional to 291,906.60, 438,005.70 and 165,643.80

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Solution

The fourth proportional to 291,906.60, 438,005.70 and 165,643.80 is: 248,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,906.60 : 438,005.70 = 165,643.80 : x
  2. Step 2: Convert to fraction form
    291,906.60/438,005.70 = 165,643.80/x
  3. Step 3: Cross multiply
    291,906.60x = 438,005.70 × 165,643.80
  4. Step 4: Simplify right side
    291,906.60x = 72,552,928,569.66
  5. Step 5: Solve for x
    x = 72,552,928,569.66/291,906.60
  6. Step 6: Final answer
    x = 248,548.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.