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Finding the Fourth Proportional to 385,714.32, 578,626.20 and 119,495.76

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Solution

The fourth proportional to 385,714.32, 578,626.20 and 119,495.76 is: 179,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.32 : 578,626.20 = 119,495.76 : x
  2. Step 2: Convert to fraction form
    385,714.32/578,626.20 = 119,495.76/x
  3. Step 3: Cross multiply
    385,714.32x = 578,626.20 × 119,495.76
  4. Step 4: Simplify right side
    385,714.32x = 69,143,377,524.91
  5. Step 5: Solve for x
    x = 69,143,377,524.91/385,714.32
  6. Step 6: Final answer
    x = 179,260.59

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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.