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Finding the Fourth Proportional to 278,344.91, 384,116.00 and 151,020.51

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Solution

The fourth proportional to 278,344.91, 384,116.00 and 151,020.51 is: 208,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,344.91 : 384,116.00 = 151,020.51 : x
  2. Step 2: Convert to fraction form
    278,344.91/384,116.00 = 151,020.51/x
  3. Step 3: Cross multiply
    278,344.91x = 384,116.00 × 151,020.51
  4. Step 4: Simplify right side
    278,344.91x = 58,009,393,464.06
  5. Step 5: Solve for x
    x = 58,009,393,464.06/278,344.91
  6. Step 6: Final answer
    x = 208,408.32

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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.