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Finding the Fourth Proportional to 369,581.72, 510,040.13 and 208,433.43

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Solution

The fourth proportional to 369,581.72, 510,040.13 and 208,433.43 is: 287,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,581.72 : 510,040.13 = 208,433.43 : x
  2. Step 2: Convert to fraction form
    369,581.72/510,040.13 = 208,433.43/x
  3. Step 3: Cross multiply
    369,581.72x = 510,040.13 × 208,433.43
  4. Step 4: Simplify right side
    369,581.72x = 106,309,412,691.38
  5. Step 5: Solve for x
    x = 106,309,412,691.38/369,581.72
  6. Step 6: Final answer
    x = 287,647.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.