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Finding the Fourth Proportional to 312,105.61, 430,702.68 and 168,862.51

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Solution

The fourth proportional to 312,105.61, 430,702.68 and 168,862.51 is: 233,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,105.61 : 430,702.68 = 168,862.51 : x
  2. Step 2: Convert to fraction form
    312,105.61/430,702.68 = 168,862.51/x
  3. Step 3: Cross multiply
    312,105.61x = 430,702.68 × 168,862.51
  4. Step 4: Simplify right side
    312,105.61x = 72,729,535,608.53
  5. Step 5: Solve for x
    x = 72,729,535,608.53/312,105.61
  6. Step 6: Final answer
    x = 233,028.61

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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.