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Finding the Fourth Proportional to 310,538.24, 428,421.12 and 191,098.88

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Solution

The fourth proportional to 310,538.24, 428,421.12 and 191,098.88 is: 263,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,538.24 : 428,421.12 = 191,098.88 : x
  2. Step 2: Convert to fraction form
    310,538.24/428,421.12 = 191,098.88/x
  3. Step 3: Cross multiply
    310,538.24x = 428,421.12 × 191,098.88
  4. Step 4: Simplify right side
    310,538.24x = 81,870,796,200.35
  5. Step 5: Solve for x
    x = 81,870,796,200.35/310,538.24
  6. Step 6: Final answer
    x = 263,641.59

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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.