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Finding the Fourth Proportional to 384,714.50, 530,933.49 and 212,628.76

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Solution

The fourth proportional to 384,714.50, 530,933.49 and 212,628.76 is: 293,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.50 : 530,933.49 = 212,628.76 : x
  2. Step 2: Convert to fraction form
    384,714.50/530,933.49 = 212,628.76/x
  3. Step 3: Cross multiply
    384,714.50x = 530,933.49 × 212,628.76
  4. Step 4: Simplify right side
    384,714.50x = 112,891,726,966.51
  5. Step 5: Solve for x
    x = 112,891,726,966.51/384,714.50
  6. Step 6: Final answer
    x = 293,442.87

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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.