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Finding the Fourth Proportional to 223,546.30, 308,468.02 and 128,047.30

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Solution

The fourth proportional to 223,546.30, 308,468.02 and 128,047.30 is: 176,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,546.30 : 308,468.02 = 128,047.30 : x
  2. Step 2: Convert to fraction form
    223,546.30/308,468.02 = 128,047.30/x
  3. Step 3: Cross multiply
    223,546.30x = 308,468.02 × 128,047.30
  4. Step 4: Simplify right side
    223,546.30x = 39,498,497,097.35
  5. Step 5: Solve for x
    x = 39,498,497,097.35/223,546.30
  6. Step 6: Final answer
    x = 176,690.45

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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.