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Finding the Fourth Proportional to 428,853.30, 643,279.95 and 192,657.30

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Solution

The fourth proportional to 428,853.30, 643,279.95 and 192,657.30 is: 288,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,853.30 : 643,279.95 = 192,657.30 : x
  2. Step 2: Convert to fraction form
    428,853.30/643,279.95 = 192,657.30/x
  3. Step 3: Cross multiply
    428,853.30x = 643,279.95 × 192,657.30
  4. Step 4: Simplify right side
    428,853.30x = 123,932,578,311.14
  5. Step 5: Solve for x
    x = 123,932,578,311.14/428,853.30
  6. Step 6: Final answer
    x = 288,985.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.