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Finding the Fourth Proportional to 384,269.20, 530,269.50 and 214,514.08

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Solution

The fourth proportional to 384,269.20, 530,269.50 and 214,514.08 is: 296,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,269.20 : 530,269.50 = 214,514.08 : x
  2. Step 2: Convert to fraction form
    384,269.20/530,269.50 = 214,514.08/x
  3. Step 3: Cross multiply
    384,269.20x = 530,269.50 × 214,514.08
  4. Step 4: Simplify right side
    384,269.20x = 113,750,273,944.56
  5. Step 5: Solve for x
    x = 113,750,273,944.56/384,269.20
  6. Step 6: Final answer
    x = 296,017.15

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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.