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Finding the Fourth Proportional to 520,082.34, 779,685.75 and 253,705.38

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Solution

The fourth proportional to 520,082.34, 779,685.75 and 253,705.38 is: 380,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082.34 : 779,685.75 = 253,705.38 : x
  2. Step 2: Convert to fraction form
    520,082.34/779,685.75 = 253,705.38/x
  3. Step 3: Cross multiply
    520,082.34x = 779,685.75 × 253,705.38
  4. Step 4: Simplify right side
    520,082.34x = 197,810,469,484.34
  5. Step 5: Solve for x
    x = 197,810,469,484.34/520,082.34
  6. Step 6: Final answer
    x = 380,344.52

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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.