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Finding the Fourth Proportional to 520,381.62, 780,625.98 and 196,442.57

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Solution

The fourth proportional to 520,381.62, 780,625.98 and 196,442.57 is: 294,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,381.62 : 780,625.98 = 196,442.57 : x
  2. Step 2: Convert to fraction form
    520,381.62/780,625.98 = 196,442.57/x
  3. Step 3: Cross multiply
    520,381.62x = 780,625.98 × 196,442.57
  4. Step 4: Simplify right side
    520,381.62x = 153,348,169,816.84
  5. Step 5: Solve for x
    x = 153,348,169,816.84/520,381.62
  6. Step 6: Final answer
    x = 294,684.06

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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.