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Finding the Fourth Proportional to 509,057.76, 763,596.24 and 154,070.40

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Solution

The fourth proportional to 509,057.76, 763,596.24 and 154,070.40 is: 231,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,057.76 : 763,596.24 = 154,070.40 : x
  2. Step 2: Convert to fraction form
    509,057.76/763,596.24 = 154,070.40/x
  3. Step 3: Cross multiply
    509,057.76x = 763,596.24 × 154,070.40
  4. Step 4: Simplify right side
    509,057.76x = 117,647,578,135.30
  5. Step 5: Solve for x
    x = 117,647,578,135.30/509,057.76
  6. Step 6: Final answer
    x = 231,108.51

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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.