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Finding the Fourth Proportional to 509,080.80, 702,490.54 and 294,234.78

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Solution

The fourth proportional to 509,080.80, 702,490.54 and 294,234.78 is: 406,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,080.80 : 702,490.54 = 294,234.78 : x
  2. Step 2: Convert to fraction form
    509,080.80/702,490.54 = 294,234.78/x
  3. Step 3: Cross multiply
    509,080.80x = 702,490.54 × 294,234.78
  4. Step 4: Simplify right side
    509,080.80x = 206,697,149,488.98
  5. Step 5: Solve for x
    x = 206,697,149,488.98/509,080.80
  6. Step 6: Final answer
    x = 406,020.32

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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.