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Finding the Fourth Proportional to 314,878.16, 434,523.20 and 171,641

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Solution

The fourth proportional to 314,878.16, 434,523.20 and 171,641 is: 236,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,878.16 : 434,523.20 = 171,641 : x
  2. Step 2: Convert to fraction form
    314,878.16/434,523.20 = 171,641/x
  3. Step 3: Cross multiply
    314,878.16x = 434,523.20 × 171,641
  4. Step 4: Simplify right side
    314,878.16x = 74,581,996,571.20
  5. Step 5: Solve for x
    x = 74,581,996,571.20/314,878.16
  6. Step 6: Final answer
    x = 236,859.86

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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.