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Finding the Fourth Proportional to 312,706.44, 431,533.80 and 169,470

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Solution

The fourth proportional to 312,706.44, 431,533.80 and 169,470 is: 233,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,706.44 : 431,533.80 = 169,470 : x
  2. Step 2: Convert to fraction form
    312,706.44/431,533.80 = 169,470/x
  3. Step 3: Cross multiply
    312,706.44x = 431,533.80 × 169,470
  4. Step 4: Simplify right side
    312,706.44x = 73,132,033,086
  5. Step 5: Solve for x
    x = 73,132,033,086/312,706.44
  6. Step 6: Final answer
    x = 233,868.01

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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.