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Finding the Fourth Proportional to 384,714.70, 530,933.77 and 212,628.96

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Solution

The fourth proportional to 384,714.70, 530,933.77 and 212,628.96 is: 293,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.70 : 530,933.77 = 212,628.96 : x
  2. Step 2: Convert to fraction form
    384,714.70/530,933.77 = 212,628.96/x
  3. Step 3: Cross multiply
    384,714.70x = 530,933.77 × 212,628.96
  4. Step 4: Simplify right side
    384,714.70x = 112,891,895,609.77
  5. Step 5: Solve for x
    x = 112,891,895,609.77/384,714.70
  6. Step 6: Final answer
    x = 293,443.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.