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Finding the Fourth Proportional to 384,919, 531,184.98 and 221,607.48

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Solution

The fourth proportional to 384,919, 531,184.98 and 221,607.48 is: 305,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,919 : 531,184.98 = 221,607.48 : x
  2. Step 2: Convert to fraction form
    384,919/531,184.98 = 221,607.48/x
  3. Step 3: Cross multiply
    384,919x = 531,184.98 × 221,607.48
  4. Step 4: Simplify right side
    384,919x = 117,714,564,831.65
  5. Step 5: Solve for x
    x = 117,714,564,831.65/384,919
  6. Step 6: Final answer
    x = 305,816.46

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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.