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Finding the Fourth Proportional to 314,667.64, 434,239.18 and 171,427.80

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Solution

The fourth proportional to 314,667.64, 434,239.18 and 171,427.80 is: 236,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,667.64 : 434,239.18 = 171,427.80 : x
  2. Step 2: Convert to fraction form
    314,667.64/434,239.18 = 171,427.80/x
  3. Step 3: Cross multiply
    314,667.64x = 434,239.18 × 171,427.80
  4. Step 4: Simplify right side
    314,667.64x = 74,440,667,301.20
  5. Step 5: Solve for x
    x = 74,440,667,301.20/314,667.64
  6. Step 6: Final answer
    x = 236,569.19

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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.