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Finding the Fourth Proportional to 312,736.53, 431,574.71 and 169,495.05

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Solution

The fourth proportional to 312,736.53, 431,574.71 and 169,495.05 is: 233,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,736.53 : 431,574.71 = 169,495.05 : x
  2. Step 2: Convert to fraction form
    312,736.53/431,574.71 = 169,495.05/x
  3. Step 3: Cross multiply
    312,736.53x = 431,574.71 × 169,495.05
  4. Step 4: Simplify right side
    312,736.53x = 73,149,776,202.71
  5. Step 5: Solve for x
    x = 73,149,776,202.71/312,736.53
  6. Step 6: Final answer
    x = 233,902.24

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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.