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Finding the Fourth Proportional to 393,980.72, 543,695.58 and 224,214.84

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Solution

The fourth proportional to 393,980.72, 543,695.58 and 224,214.84 is: 309,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,980.72 : 543,695.58 = 224,214.84 : x
  2. Step 2: Convert to fraction form
    393,980.72/543,695.58 = 224,214.84/x
  3. Step 3: Cross multiply
    393,980.72x = 543,695.58 × 224,214.84
  4. Step 4: Simplify right side
    393,980.72x = 121,904,617,478.41
  5. Step 5: Solve for x
    x = 121,904,617,478.41/393,980.72
  6. Step 6: Final answer
    x = 309,417.73

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1.5x scale

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.