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Finding the Fourth Proportional to 543,302.66, 815,490.35 and 407,895.77

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Solution

The fourth proportional to 543,302.66, 815,490.35 and 407,895.77 is: 612,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,302.66 : 815,490.35 = 407,895.77 : x
  2. Step 2: Convert to fraction form
    543,302.66/815,490.35 = 407,895.77/x
  3. Step 3: Cross multiply
    543,302.66x = 815,490.35 × 407,895.77
  4. Step 4: Simplify right side
    543,302.66x = 332,635,067,299.29
  5. Step 5: Solve for x
    x = 332,635,067,299.29/543,302.66
  6. Step 6: Final answer
    x = 612,246.34

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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.