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Finding the Fourth Proportional to 213,967.62, 320,831.49 and 146,575.86

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Solution

The fourth proportional to 213,967.62, 320,831.49 and 146,575.86 is: 219,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967.62 : 320,831.49 = 146,575.86 : x
  2. Step 2: Convert to fraction form
    213,967.62/320,831.49 = 146,575.86/x
  3. Step 3: Cross multiply
    213,967.62x = 320,831.49 × 146,575.86
  4. Step 4: Simplify right side
    213,967.62x = 47,026,151,561.83
  5. Step 5: Solve for x
    x = 47,026,151,561.83/213,967.62
  6. Step 6: Final answer
    x = 219,781.63

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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.