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Finding the Fourth Proportional to 1,007,850, 1,511,765.76 and 408,668.76

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Solution

The fourth proportional to 1,007,850, 1,511,765.76 and 408,668.76 is: 612,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,850 : 1,511,765.76 = 408,668.76 : x
  2. Step 2: Convert to fraction form
    1,007,850/1,511,765.76 = 408,668.76/x
  3. Step 3: Cross multiply
    1,007,850x = 1,511,765.76 × 408,668.76
  4. Step 4: Simplify right side
    1,007,850x = 617,811,438,549.66
  5. Step 5: Solve for x
    x = 617,811,438,549.66/1,007,850
  6. Step 6: Final answer
    x = 612,999.39

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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.