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Finding the Fourth Proportional to 507,211.34, 699,831.52 and 300,375.28

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Solution

The fourth proportional to 507,211.34, 699,831.52 and 300,375.28 is: 414,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,211.34 : 699,831.52 = 300,375.28 : x
  2. Step 2: Convert to fraction form
    507,211.34/699,831.52 = 300,375.28/x
  3. Step 3: Cross multiply
    507,211.34x = 699,831.52 × 300,375.28
  4. Step 4: Simplify right side
    507,211.34x = 210,212,086,272.31
  5. Step 5: Solve for x
    x = 210,212,086,272.31/507,211.34
  6. Step 6: Final answer
    x = 414,446.74

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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.