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Finding the Fourth Proportional to 278,714.84, 384,628.50 and 151,390.49

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Solution

The fourth proportional to 278,714.84, 384,628.50 and 151,390.49 is: 208,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,714.84 : 384,628.50 = 151,390.49 : x
  2. Step 2: Convert to fraction form
    278,714.84/384,628.50 = 151,390.49/x
  3. Step 3: Cross multiply
    278,714.84x = 384,628.50 × 151,390.49
  4. Step 4: Simplify right side
    278,714.84x = 58,229,095,159.82
  5. Step 5: Solve for x
    x = 58,229,095,159.82/278,714.84
  6. Step 6: Final answer
    x = 208,919.97

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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.