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Finding the Fourth Proportional to 507,578.71, 761,464.20 and 203,996.47

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Solution

The fourth proportional to 507,578.71, 761,464.20 and 203,996.47 is: 306,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,578.71 : 761,464.20 = 203,996.47 : x
  2. Step 2: Convert to fraction form
    507,578.71/761,464.20 = 203,996.47/x
  3. Step 3: Cross multiply
    507,578.71x = 761,464.20 × 203,996.47
  4. Step 4: Simplify right side
    507,578.71x = 155,336,008,831.37
  5. Step 5: Solve for x
    x = 155,336,008,831.37/507,578.71
  6. Step 6: Final answer
    x = 306,033.34

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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.