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Finding the Fourth Proportional to 278,407.89, 384,203.13 and 151,083.48

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Solution

The fourth proportional to 278,407.89, 384,203.13 and 151,083.48 is: 208,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.89 : 384,203.13 = 151,083.48 : x
  2. Step 2: Convert to fraction form
    278,407.89/384,203.13 = 151,083.48/x
  3. Step 3: Cross multiply
    278,407.89x = 384,203.13 × 151,083.48
  4. Step 4: Simplify right side
    278,407.89x = 58,046,745,907.29
  5. Step 5: Solve for x
    x = 58,046,745,907.29/278,407.89
  6. Step 6: Final answer
    x = 208,495.34

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1.5x scale

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.