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Finding the Fourth Proportional to 278,316.44, 384,051.30 and 157,468.76

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Solution

The fourth proportional to 278,316.44, 384,051.30 and 157,468.76 is: 217,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,316.44 : 384,051.30 = 157,468.76 : x
  2. Step 2: Convert to fraction form
    278,316.44/384,051.30 = 157,468.76/x
  3. Step 3: Cross multiply
    278,316.44x = 384,051.30 × 157,468.76
  4. Step 4: Simplify right side
    278,316.44x = 60,476,081,987.39
  5. Step 5: Solve for x
    x = 60,476,081,987.39/278,316.44
  6. Step 6: Final answer
    x = 217,292.52

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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.