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Finding the Fourth Proportional to 312,339.06, 431,028.18 and 169,099.20

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Solution

The fourth proportional to 312,339.06, 431,028.18 and 169,099.20 is: 233,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,339.06 : 431,028.18 = 169,099.20 : x
  2. Step 2: Convert to fraction form
    312,339.06/431,028.18 = 169,099.20/x
  3. Step 3: Cross multiply
    312,339.06x = 431,028.18 × 169,099.20
  4. Step 4: Simplify right side
    312,339.06x = 72,886,520,415.46
  5. Step 5: Solve for x
    x = 72,886,520,415.46/312,339.06
  6. Step 6: Final answer
    x = 233,357.05

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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.