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Finding the Fourth Proportional to 278,509.88, 382,865.77 and 239,605.58

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Solution

The fourth proportional to 278,509.88, 382,865.77 and 239,605.58 is: 329,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,509.88 : 382,865.77 = 239,605.58 : x
  2. Step 2: Convert to fraction form
    278,509.88/382,865.77 = 239,605.58/x
  3. Step 3: Cross multiply
    278,509.88x = 382,865.77 × 239,605.58
  4. Step 4: Simplify right side
    278,509.88x = 91,736,774,883.00
  5. Step 5: Solve for x
    x = 91,736,774,883.00/278,509.88
  6. Step 6: Final answer
    x = 329,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.