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Finding the Fourth Proportional to 384,209.54, 529,716.19 and 315,044.15

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Solution

The fourth proportional to 384,209.54, 529,716.19 and 315,044.15 is: 434,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209.54 : 529,716.19 = 315,044.15 : x
  2. Step 2: Convert to fraction form
    384,209.54/529,716.19 = 315,044.15/x
  3. Step 3: Cross multiply
    384,209.54x = 529,716.19 × 315,044.15
  4. Step 4: Simplify right side
    384,209.54x = 166,883,983,777.40
  5. Step 5: Solve for x
    x = 166,883,983,777.40/384,209.54
  6. Step 6: Final answer
    x = 434,356.69

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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.