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Finding the Fourth Proportional to 522,296.72, 783,514.80 and 206,679.82

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Solution

The fourth proportional to 522,296.72, 783,514.80 and 206,679.82 is: 310,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,296.72 : 783,514.80 = 206,679.82 : x
  2. Step 2: Convert to fraction form
    522,296.72/783,514.80 = 206,679.82/x
  3. Step 3: Cross multiply
    522,296.72x = 783,514.80 × 206,679.82
  4. Step 4: Simplify right side
    522,296.72x = 161,936,697,831.34
  5. Step 5: Solve for x
    x = 161,936,697,831.34/522,296.72
  6. Step 6: Final answer
    x = 310,047.32

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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.