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Finding the Fourth Proportional to 312,269.42, 430,932.87 and 169,029.42

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Solution

The fourth proportional to 312,269.42, 430,932.87 and 169,029.42 is: 233,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,269.42 : 430,932.87 = 169,029.42 : x
  2. Step 2: Convert to fraction form
    312,269.42/430,932.87 = 169,029.42/x
  3. Step 3: Cross multiply
    312,269.42x = 430,932.87 × 169,029.42
  4. Step 4: Simplify right side
    312,269.42x = 72,840,333,075.04
  5. Step 5: Solve for x
    x = 72,840,333,075.04/312,269.42
  6. Step 6: Final answer
    x = 233,261.18

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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.