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Finding the Fourth Proportional to 278,565.69, 384,420.65 and 151,241.30

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Solution

The fourth proportional to 278,565.69, 384,420.65 and 151,241.30 is: 208,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,565.69 : 384,420.65 = 151,241.30 : x
  2. Step 2: Convert to fraction form
    278,565.69/384,420.65 = 151,241.30/x
  3. Step 3: Cross multiply
    278,565.69x = 384,420.65 × 151,241.30
  4. Step 4: Simplify right side
    278,565.69x = 58,140,276,174.54
  5. Step 5: Solve for x
    x = 58,140,276,174.54/278,565.69
  6. Step 6: Final answer
    x = 208,712.98

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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.