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Finding the Fourth Proportional to 314,720.82, 434,317.92 and 171,483.24

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Solution

The fourth proportional to 314,720.82, 434,317.92 and 171,483.24 is: 236,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720.82 : 434,317.92 = 171,483.24 : x
  2. Step 2: Convert to fraction form
    314,720.82/434,317.92 = 171,483.24/x
  3. Step 3: Cross multiply
    314,720.82x = 434,317.92 × 171,483.24
  4. Step 4: Simplify right side
    314,720.82x = 74,478,244,111.66
  5. Step 5: Solve for x
    x = 74,478,244,111.66/314,720.82
  6. Step 6: Final answer
    x = 236,648.61

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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.