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Finding the Fourth Proportional to 312,522.72, 431,281.16 and 169,282.44

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Solution

The fourth proportional to 312,522.72, 431,281.16 and 169,282.44 is: 233,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,522.72 : 431,281.16 = 169,282.44 : x
  2. Step 2: Convert to fraction form
    312,522.72/431,281.16 = 169,282.44/x
  3. Step 3: Cross multiply
    312,522.72x = 431,281.16 × 169,282.44
  4. Step 4: Simplify right side
    312,522.72x = 73,008,327,090.83
  5. Step 5: Solve for x
    x = 73,008,327,090.83/312,522.72
  6. Step 6: Final answer
    x = 233,609.66

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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.