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Finding the Fourth Proportional to 385,470.70, 578,679.90 and 243,315.70

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Solution

The fourth proportional to 385,470.70, 578,679.90 and 243,315.70 is: 365,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,470.70 : 578,679.90 = 243,315.70 : x
  2. Step 2: Convert to fraction form
    385,470.70/578,679.90 = 243,315.70/x
  3. Step 3: Cross multiply
    385,470.70x = 578,679.90 × 243,315.70
  4. Step 4: Simplify right side
    385,470.70x = 140,801,904,944.43
  5. Step 5: Solve for x
    x = 140,801,904,944.43/385,470.70
  6. Step 6: Final answer
    x = 365,272.65

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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.