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Finding the Fourth Proportional to 353,114.20, 529,476.90 and 142,514.20

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Solution

The fourth proportional to 353,114.20, 529,476.90 and 142,514.20 is: 213,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.20 : 529,476.90 = 142,514.20 : x
  2. Step 2: Convert to fraction form
    353,114.20/529,476.90 = 142,514.20/x
  3. Step 3: Cross multiply
    353,114.20x = 529,476.90 × 142,514.20
  4. Step 4: Simplify right side
    353,114.20x = 75,457,976,821.98
  5. Step 5: Solve for x
    x = 75,457,976,821.98/353,114.20
  6. Step 6: Final answer
    x = 213,692.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.