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Finding the Fourth Proportional to 520,142.98, 779,992.92 and 204,378.38

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Solution

The fourth proportional to 520,142.98, 779,992.92 and 204,378.38 is: 306,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,142.98 : 779,992.92 = 204,378.38 : x
  2. Step 2: Convert to fraction form
    520,142.98/779,992.92 = 204,378.38/x
  3. Step 3: Cross multiply
    520,142.98x = 779,992.92 × 204,378.38
  4. Step 4: Simplify right side
    520,142.98x = 159,413,689,401.07
  5. Step 5: Solve for x
    x = 159,413,689,401.07/520,142.98
  6. Step 6: Final answer
    x = 306,480.52

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1.5x scale

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.