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Finding the Fourth Proportional to 509,498.76, 701,893.08 and 356,250.21

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Solution

The fourth proportional to 509,498.76, 701,893.08 and 356,250.21 is: 490,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,498.76 : 701,893.08 = 356,250.21 : x
  2. Step 2: Convert to fraction form
    509,498.76/701,893.08 = 356,250.21/x
  3. Step 3: Cross multiply
    509,498.76x = 701,893.08 × 356,250.21
  4. Step 4: Simplify right side
    509,498.76x = 250,049,557,147.55
  5. Step 5: Solve for x
    x = 250,049,557,147.55/509,498.76
  6. Step 6: Final answer
    x = 490,775.60

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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.