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Finding the Fourth Proportional to 645,882.70, 967,902.45 and 476,077.90

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Solution

The fourth proportional to 645,882.70, 967,902.45 and 476,077.90 is: 713,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,882.70 : 967,902.45 = 476,077.90 : x
  2. Step 2: Convert to fraction form
    645,882.70/967,902.45 = 476,077.90/x
  3. Step 3: Cross multiply
    645,882.70x = 967,902.45 × 476,077.90
  4. Step 4: Simplify right side
    645,882.70x = 460,796,965,800.86
  5. Step 5: Solve for x
    x = 460,796,965,800.86/645,882.70
  6. Step 6: Final answer
    x = 713,437.54

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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.