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Finding the Fourth Proportional to 384,554.58, 530,682.20 and 212,472

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Solution

The fourth proportional to 384,554.58, 530,682.20 and 212,472 is: 293,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,554.58 : 530,682.20 = 212,472 : x
  2. Step 2: Convert to fraction form
    384,554.58/530,682.20 = 212,472/x
  3. Step 3: Cross multiply
    384,554.58x = 530,682.20 × 212,472
  4. Step 4: Simplify right side
    384,554.58x = 112,755,108,398.40
  5. Step 5: Solve for x
    x = 112,755,108,398.40/384,554.58
  6. Step 6: Final answer
    x = 293,209.64

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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.