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Finding the Fourth Proportional to 520,670.36, 780,113.90 and 284,179

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Solution

The fourth proportional to 520,670.36, 780,113.90 and 284,179 is: 425,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,670.36 : 780,113.90 = 284,179 : x
  2. Step 2: Convert to fraction form
    520,670.36/780,113.90 = 284,179/x
  3. Step 3: Cross multiply
    520,670.36x = 780,113.90 × 284,179
  4. Step 4: Simplify right side
    520,670.36x = 221,691,987,988.10
  5. Step 5: Solve for x
    x = 221,691,987,988.10/520,670.36
  6. Step 6: Final answer
    x = 425,781.85

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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.