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Finding the Fourth Proportional to 385,670.34, 578,446.11 and 105,209.46

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Solution

The fourth proportional to 385,670.34, 578,446.11 and 105,209.46 is: 157,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,670.34 : 578,446.11 = 105,209.46 : x
  2. Step 2: Convert to fraction form
    385,670.34/578,446.11 = 105,209.46/x
  3. Step 3: Cross multiply
    385,670.34x = 578,446.11 × 105,209.46
  4. Step 4: Simplify right side
    385,670.34x = 60,858,002,872.20
  5. Step 5: Solve for x
    x = 60,858,002,872.20/385,670.34
  6. Step 6: Final answer
    x = 157,797.99

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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.