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Finding the Fourth Proportional to 289,158.95, 398,759.42 and 225,473.51

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Solution

The fourth proportional to 289,158.95, 398,759.42 and 225,473.51 is: 310,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158.95 : 398,759.42 = 225,473.51 : x
  2. Step 2: Convert to fraction form
    289,158.95/398,759.42 = 225,473.51/x
  3. Step 3: Cross multiply
    289,158.95x = 398,759.42 × 225,473.51
  4. Step 4: Simplify right side
    289,158.95x = 89,909,684,945.60
  5. Step 5: Solve for x
    x = 89,909,684,945.60/289,158.95
  6. Step 6: Final answer
    x = 310,935.16

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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.