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Finding the Fourth Proportional to 316,027.44, 436,124.16 and 172,796.40

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Solution

The fourth proportional to 316,027.44, 436,124.16 and 172,796.40 is: 238,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,027.44 : 436,124.16 = 172,796.40 : x
  2. Step 2: Convert to fraction form
    316,027.44/436,124.16 = 172,796.40/x
  3. Step 3: Cross multiply
    316,027.44x = 436,124.16 × 172,796.40
  4. Step 4: Simplify right side
    316,027.44x = 75,360,684,801.02
  5. Step 5: Solve for x
    x = 75,360,684,801.02/316,027.44
  6. Step 6: Final answer
    x = 238,462.47

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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.