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Finding the Fourth Proportional to 509,500.26, 701,895.15 and 356,251.71

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Solution

The fourth proportional to 509,500.26, 701,895.15 and 356,251.71 is: 490,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,500.26 : 701,895.15 = 356,251.71 : x
  2. Step 2: Convert to fraction form
    509,500.26/701,895.15 = 356,251.71/x
  3. Step 3: Cross multiply
    509,500.26x = 701,895.15 × 356,251.71
  4. Step 4: Simplify right side
    509,500.26x = 250,051,347,428.21
  5. Step 5: Solve for x
    x = 250,051,347,428.21/509,500.26
  6. Step 6: Final answer
    x = 490,777.66

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1.5x scale

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.