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Finding the Fourth Proportional to 288,321.63, 398,071.06 and 258,054.46

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Solution

The fourth proportional to 288,321.63, 398,071.06 and 258,054.46 is: 356,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,321.63 : 398,071.06 = 258,054.46 : x
  2. Step 2: Convert to fraction form
    288,321.63/398,071.06 = 258,054.46/x
  3. Step 3: Cross multiply
    288,321.63x = 398,071.06 × 258,054.46
  4. Step 4: Simplify right side
    288,321.63x = 102,724,010,789.61
  5. Step 5: Solve for x
    x = 102,724,010,789.61/288,321.63
  6. Step 6: Final answer
    x = 356,282.71

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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.