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Finding the Fourth Proportional to 310,640.60, 465,277.92 and 256,721.50

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Solution

The fourth proportional to 310,640.60, 465,277.92 and 256,721.50 is: 384,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,640.60 : 465,277.92 = 256,721.50 : x
  2. Step 2: Convert to fraction form
    310,640.60/465,277.92 = 256,721.50/x
  3. Step 3: Cross multiply
    310,640.60x = 465,277.92 × 256,721.50
  4. Step 4: Simplify right side
    310,640.60x = 119,446,845,539.28
  5. Step 5: Solve for x
    x = 119,446,845,539.28/310,640.60
  6. Step 6: Final answer
    x = 384,517.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.