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Finding the Fourth Proportional to 312,405.12, 431,118.45 and 169,164.72

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Solution

The fourth proportional to 312,405.12, 431,118.45 and 169,164.72 is: 233,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,405.12 : 431,118.45 = 169,164.72 : x
  2. Step 2: Convert to fraction form
    312,405.12/431,118.45 = 169,164.72/x
  3. Step 3: Cross multiply
    312,405.12x = 431,118.45 × 169,164.72
  4. Step 4: Simplify right side
    312,405.12x = 72,930,031,881.08
  5. Step 5: Solve for x
    x = 72,930,031,881.08/312,405.12
  6. Step 6: Final answer
    x = 233,446.98

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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.