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Finding the Fourth Proportional to 288,959,662.40, 434,147,282.40 and 217,296,046.40

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Solution

The fourth proportional to 288,959,662.40, 434,147,282.40 and 217,296,046.40 is: 326,476,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,959,662.40 : 434,147,282.40 = 217,296,046.40 : x
  2. Step 2: Convert to fraction form
    288,959,662.40/434,147,282.40 = 217,296,046.40/x
  3. Step 3: Cross multiply
    288,959,662.40x = 434,147,282.40 × 217,296,046.40
  4. Step 4: Simplify right side
    288,959,662.40x = 94,338,488,020,824,304
  5. Step 5: Solve for x
    x = 94,338,488,020,824,304/288,959,662.40
  6. Step 6: Final answer
    x = 326,476,322.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.