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Finding the Fourth Proportional to 384,103.92, 530,063.42 and 212,021.92

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Solution

The fourth proportional to 384,103.92, 530,063.42 and 212,021.92 is: 292,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,103.92 : 530,063.42 = 212,021.92 : x
  2. Step 2: Convert to fraction form
    384,103.92/530,063.42 = 212,021.92/x
  3. Step 3: Cross multiply
    384,103.92x = 530,063.42 × 212,021.92
  4. Step 4: Simplify right side
    384,103.92x = 112,385,064,030.17
  5. Step 5: Solve for x
    x = 112,385,064,030.17/384,103.92
  6. Step 6: Final answer
    x = 292,590.26

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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.