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Finding the Fourth Proportional to 341,564.56, 511,996.80 and 142,000.72

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Solution

The fourth proportional to 341,564.56, 511,996.80 and 142,000.72 is: 212,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,564.56 : 511,996.80 = 142,000.72 : x
  2. Step 2: Convert to fraction form
    341,564.56/511,996.80 = 142,000.72/x
  3. Step 3: Cross multiply
    341,564.56x = 511,996.80 × 142,000.72
  4. Step 4: Simplify right side
    341,564.56x = 72,703,914,237.70
  5. Step 5: Solve for x
    x = 72,703,914,237.70/341,564.56
  6. Step 6: Final answer
    x = 212,855.56

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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.