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Finding the Fourth Proportional to 314,805.57, 434,428.97 and 171,565.58

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Solution

The fourth proportional to 314,805.57, 434,428.97 and 171,565.58 is: 236,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,805.57 : 434,428.97 = 171,565.58 : x
  2. Step 2: Convert to fraction form
    314,805.57/434,428.97 = 171,565.58/x
  3. Step 3: Cross multiply
    314,805.57x = 434,428.97 × 171,565.58
  4. Step 4: Simplify right side
    314,805.57x = 74,533,055,176.88
  5. Step 5: Solve for x
    x = 74,533,055,176.88/314,805.57
  6. Step 6: Final answer
    x = 236,759.01

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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.