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Finding the Fourth Proportional to 393,811.84, 543,472.64 and 224,070.40

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Solution

The fourth proportional to 393,811.84, 543,472.64 and 224,070.40 is: 309,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,811.84 : 543,472.64 = 224,070.40 : x
  2. Step 2: Convert to fraction form
    393,811.84/543,472.64 = 224,070.40/x
  3. Step 3: Cross multiply
    393,811.84x = 543,472.64 × 224,070.40
  4. Step 4: Simplify right side
    393,811.84x = 121,776,131,833.86
  5. Step 5: Solve for x
    x = 121,776,131,833.86/393,811.84
  6. Step 6: Final answer
    x = 309,224.15

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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.