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Finding the Fourth Proportional to 491,307.46, 678,270.41 and 344,582.91

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Solution

The fourth proportional to 491,307.46, 678,270.41 and 344,582.91 is: 475,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,307.46 : 678,270.41 = 344,582.91 : x
  2. Step 2: Convert to fraction form
    491,307.46/678,270.41 = 344,582.91/x
  3. Step 3: Cross multiply
    491,307.46x = 678,270.41 × 344,582.91
  4. Step 4: Simplify right side
    491,307.46x = 233,720,389,921.78
  5. Step 5: Solve for x
    x = 233,720,389,921.78/491,307.46
  6. Step 6: Final answer
    x = 475,711.06

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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.