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Finding the Fourth Proportional to 289,471,791.30, 433,851,953.58 and 133,815,047.40

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Solution

The fourth proportional to 289,471,791.30, 433,851,953.58 and 133,815,047.40 is: 200,558,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,471,791.30 : 433,851,953.58 = 133,815,047.40 : x
  2. Step 2: Convert to fraction form
    289,471,791.30/433,851,953.58 = 133,815,047.40/x
  3. Step 3: Cross multiply
    289,471,791.30x = 433,851,953.58 × 133,815,047.40
  4. Step 4: Simplify right side
    289,471,791.30x = 58,055,919,732,890,304
  5. Step 5: Solve for x
    x = 58,055,919,732,890,304/289,471,791.30
  6. Step 6: Final answer
    x = 200,558,125.10

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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.