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Finding the Fourth Proportional to 514,503, 771,754.92 and 214,820.28

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Solution

The fourth proportional to 514,503, 771,754.92 and 214,820.28 is: 322,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,503 : 771,754.92 = 214,820.28 : x
  2. Step 2: Convert to fraction form
    514,503/771,754.92 = 214,820.28/x
  3. Step 3: Cross multiply
    514,503x = 771,754.92 × 214,820.28
  4. Step 4: Simplify right side
    514,503x = 165,788,608,005.78
  5. Step 5: Solve for x
    x = 165,788,608,005.78/514,503
  6. Step 6: Final answer
    x = 322,230.60

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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.