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Finding the Fourth Proportional to 408,426.84, 612,222.30 and 141,968.70

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Solution

The fourth proportional to 408,426.84, 612,222.30 and 141,968.70 is: 212,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,426.84 : 612,222.30 = 141,968.70 : x
  2. Step 2: Convert to fraction form
    408,426.84/612,222.30 = 141,968.70/x
  3. Step 3: Cross multiply
    408,426.84x = 612,222.30 × 141,968.70
  4. Step 4: Simplify right side
    408,426.84x = 86,916,404,042.01
  5. Step 5: Solve for x
    x = 86,916,404,042.01/408,426.84
  6. Step 6: Final answer
    x = 212,807.77

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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.