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Finding the Fourth Proportional to 509,380.43, 702,903.87 and 294,534.41

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Solution

The fourth proportional to 509,380.43, 702,903.87 and 294,534.41 is: 406,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,380.43 : 702,903.87 = 294,534.41 : x
  2. Step 2: Convert to fraction form
    509,380.43/702,903.87 = 294,534.41/x
  3. Step 3: Cross multiply
    509,380.43x = 702,903.87 × 294,534.41
  4. Step 4: Simplify right side
    509,380.43x = 207,029,373,122.65
  5. Step 5: Solve for x
    x = 207,029,373,122.65/509,380.43
  6. Step 6: Final answer
    x = 406,433.70

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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.