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Finding the Fourth Proportional to 312,466.16, 431,203.56 and 169,226.48

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Solution

The fourth proportional to 312,466.16, 431,203.56 and 169,226.48 is: 233,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.16 : 431,203.56 = 169,226.48 : x
  2. Step 2: Convert to fraction form
    312,466.16/431,203.56 = 169,226.48/x
  3. Step 3: Cross multiply
    312,466.16x = 431,203.56 × 169,226.48
  4. Step 4: Simplify right side
    312,466.16x = 72,971,060,622.27
  5. Step 5: Solve for x
    x = 72,971,060,622.27/312,466.16
  6. Step 6: Final answer
    x = 233,532.68

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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.