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Finding the Fourth Proportional to 509,342.40, 763,509.60 and 225,187.20

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Solution

The fourth proportional to 509,342.40, 763,509.60 and 225,187.20 is: 337,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,342.40 : 763,509.60 = 225,187.20 : x
  2. Step 2: Convert to fraction form
    509,342.40/763,509.60 = 225,187.20/x
  3. Step 3: Cross multiply
    509,342.40x = 763,509.60 × 225,187.20
  4. Step 4: Simplify right side
    509,342.40x = 171,932,588,997.12
  5. Step 5: Solve for x
    x = 171,932,588,997.12/509,342.40
  6. Step 6: Final answer
    x = 337,557.97

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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.