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Finding the Fourth Proportional to 312,783.42, 431,640.70 and 169,543.42

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Solution

The fourth proportional to 312,783.42, 431,640.70 and 169,543.42 is: 233,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,783.42 : 431,640.70 = 169,543.42 : x
  2. Step 2: Convert to fraction form
    312,783.42/431,640.70 = 169,543.42/x
  3. Step 3: Cross multiply
    312,783.42x = 431,640.70 × 169,543.42
  4. Step 4: Simplify right side
    312,783.42x = 73,181,840,489.19
  5. Step 5: Solve for x
    x = 73,181,840,489.19/312,783.42
  6. Step 6: Final answer
    x = 233,969.69

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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.