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Finding the Fourth Proportional to 314,781.50, 434,398.55 and 171,541.58

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Solution

The fourth proportional to 314,781.50, 434,398.55 and 171,541.58 is: 236,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,781.50 : 434,398.55 = 171,541.58 : x
  2. Step 2: Convert to fraction form
    314,781.50/434,398.55 = 171,541.58/x
  3. Step 3: Cross multiply
    314,781.50x = 434,398.55 × 171,541.58
  4. Step 4: Simplify right side
    314,781.50x = 74,517,410,587.01
  5. Step 5: Solve for x
    x = 74,517,410,587.01/314,781.50
  6. Step 6: Final answer
    x = 236,727.41

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1.5x scale

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.