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Finding the Fourth Proportional to 384,172.80, 529,665.60 and 315,007.43

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Solution

The fourth proportional to 384,172.80, 529,665.60 and 315,007.43 is: 434,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.80 : 529,665.60 = 315,007.43 : x
  2. Step 2: Convert to fraction form
    384,172.80/529,665.60 = 315,007.43/x
  3. Step 3: Cross multiply
    384,172.80x = 529,665.60 × 315,007.43
  4. Step 4: Simplify right side
    384,172.80x = 166,848,596,767.08
  5. Step 5: Solve for x
    x = 166,848,596,767.08/384,172.80
  6. Step 6: Final answer
    x = 434,306.12

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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.