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Finding the Fourth Proportional to 393,209.94, 542,624.54 and 221,127.86

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Solution

The fourth proportional to 393,209.94, 542,624.54 and 221,127.86 is: 305,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,209.94 : 542,624.54 = 221,127.86 : x
  2. Step 2: Convert to fraction form
    393,209.94/542,624.54 = 221,127.86/x
  3. Step 3: Cross multiply
    393,209.94x = 542,624.54 × 221,127.86
  4. Step 4: Simplify right side
    393,209.94x = 119,989,401,756.19
  5. Step 5: Solve for x
    x = 119,989,401,756.19/393,209.94
  6. Step 6: Final answer
    x = 305,153.53

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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.