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Finding the Fourth Proportional to 288,323.13, 398,073.14 and 258,055.97

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Solution

The fourth proportional to 288,323.13, 398,073.14 and 258,055.97 is: 356,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,323.13 : 398,073.14 = 258,055.97 : x
  2. Step 2: Convert to fraction form
    288,323.13/398,073.14 = 258,055.97/x
  3. Step 3: Cross multiply
    288,323.13x = 398,073.14 × 258,055.97
  4. Step 4: Simplify right side
    288,323.13x = 102,725,146,993.00
  5. Step 5: Solve for x
    x = 102,725,146,993.00/288,323.13
  6. Step 6: Final answer
    x = 356,284.79

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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.