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Finding the Fourth Proportional to 314,782.12, 434,383.86 and 171,541.72

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Solution

The fourth proportional to 314,782.12, 434,383.86 and 171,541.72 is: 236,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,782.12 : 434,383.86 = 171,541.72 : x
  2. Step 2: Convert to fraction form
    314,782.12/434,383.86 = 171,541.72/x
  3. Step 3: Cross multiply
    314,782.12x = 434,383.86 × 171,541.72
  4. Step 4: Simplify right side
    314,782.12x = 74,514,954,484.64
  5. Step 5: Solve for x
    x = 74,514,954,484.64/314,782.12
  6. Step 6: Final answer
    x = 236,719.15

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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.