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Finding the Fourth Proportional to 646,575.83, 969,803.90 and 304,940.91

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Solution

The fourth proportional to 646,575.83, 969,803.90 and 304,940.91 is: 457,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,575.83 : 969,803.90 = 304,940.91 : x
  2. Step 2: Convert to fraction form
    646,575.83/969,803.90 = 304,940.91/x
  3. Step 3: Cross multiply
    646,575.83x = 969,803.90 × 304,940.91
  4. Step 4: Simplify right side
    646,575.83x = 295,732,883,787.55
  5. Step 5: Solve for x
    x = 295,732,883,787.55/646,575.83
  6. Step 6: Final answer
    x = 457,383.14

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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.