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Finding the Fourth Proportional to 314,605.12, 434,145.44 and 171,362.88

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Solution

The fourth proportional to 314,605.12, 434,145.44 and 171,362.88 is: 236,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,605.12 : 434,145.44 = 171,362.88 : x
  2. Step 2: Convert to fraction form
    314,605.12/434,145.44 = 171,362.88/x
  3. Step 3: Cross multiply
    314,605.12x = 434,145.44 × 171,362.88
  4. Step 4: Simplify right side
    314,605.12x = 74,396,412,937.27
  5. Step 5: Solve for x
    x = 74,396,412,937.27/314,605.12
  6. Step 6: Final answer
    x = 236,475.53

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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.