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Finding the Fourth Proportional to 393,314.20, 590,408.70 and 243,723.40

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Solution

The fourth proportional to 393,314.20, 590,408.70 and 243,723.40 is: 365,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,314.20 : 590,408.70 = 243,723.40 : x
  2. Step 2: Convert to fraction form
    393,314.20/590,408.70 = 243,723.40/x
  3. Step 3: Cross multiply
    393,314.20x = 590,408.70 × 243,723.40
  4. Step 4: Simplify right side
    393,314.20x = 143,896,415,753.58
  5. Step 5: Solve for x
    x = 143,896,415,753.58/393,314.20
  6. Step 6: Final answer
    x = 365,856.14

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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.