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Finding the Fourth Proportional to 369,054.38, 509,332.67 and 225,909.02

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Solution

The fourth proportional to 369,054.38, 509,332.67 and 225,909.02 is: 311,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,054.38 : 509,332.67 = 225,909.02 : x
  2. Step 2: Convert to fraction form
    369,054.38/509,332.67 = 225,909.02/x
  3. Step 3: Cross multiply
    369,054.38x = 509,332.67 × 225,909.02
  4. Step 4: Simplify right side
    369,054.38x = 115,062,844,333.68
  5. Step 5: Solve for x
    x = 115,062,844,333.68/369,054.38
  6. Step 6: Final answer
    x = 311,777.48

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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.