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Finding the Fourth Proportional to 312,105.42, 430,702.42 and 168,862.32

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Solution

The fourth proportional to 312,105.42, 430,702.42 and 168,862.32 is: 233,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,105.42 : 430,702.42 = 168,862.32 : x
  2. Step 2: Convert to fraction form
    312,105.42/430,702.42 = 168,862.32/x
  3. Step 3: Cross multiply
    312,105.42x = 430,702.42 × 168,862.32
  4. Step 4: Simplify right side
    312,105.42x = 72,729,410,947.57
  5. Step 5: Solve for x
    x = 72,729,410,947.57/312,105.42
  6. Step 6: Final answer
    x = 233,028.35

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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.