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Finding the Fourth Proportional to 384,209.86, 530,160.70 and 214,451.14

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Solution

The fourth proportional to 384,209.86, 530,160.70 and 214,451.14 is: 295,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209.86 : 530,160.70 = 214,451.14 : x
  2. Step 2: Convert to fraction form
    384,209.86/530,160.70 = 214,451.14/x
  3. Step 3: Cross multiply
    384,209.86x = 530,160.70 × 214,451.14
  4. Step 4: Simplify right side
    384,209.86x = 113,693,566,498.20
  5. Step 5: Solve for x
    x = 113,693,566,498.20/384,209.86
  6. Step 6: Final answer
    x = 295,915.28

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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.