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Finding the Fourth Proportional to 278,407.61, 384,202.74 and 151,083.20

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Solution

The fourth proportional to 278,407.61, 384,202.74 and 151,083.20 is: 208,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.61 : 384,202.74 = 151,083.20 : x
  2. Step 2: Convert to fraction form
    278,407.61/384,202.74 = 151,083.20/x
  3. Step 3: Cross multiply
    278,407.61x = 384,202.74 × 151,083.20
  4. Step 4: Simplify right side
    278,407.61x = 58,046,580,368.47
  5. Step 5: Solve for x
    x = 58,046,580,368.47/278,407.61
  6. Step 6: Final answer
    x = 208,494.95

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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.