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Finding the Fourth Proportional to 312,592.78, 431,378.48 and 169,352.82

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Solution

The fourth proportional to 312,592.78, 431,378.48 and 169,352.82 is: 233,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,592.78 : 431,378.48 = 169,352.82 : x
  2. Step 2: Convert to fraction form
    312,592.78/431,378.48 = 169,352.82/x
  3. Step 3: Cross multiply
    312,592.78x = 431,378.48 × 169,352.82
  4. Step 4: Simplify right side
    312,592.78x = 73,055,162,075.31
  5. Step 5: Solve for x
    x = 73,055,162,075.31/312,592.78
  6. Step 6: Final answer
    x = 233,707.13

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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.