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Finding the Fourth Proportional to 409,468.91, 611,000.31 and 366,915.35

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Solution

The fourth proportional to 409,468.91, 611,000.31 and 366,915.35 is: 547,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,468.91 : 611,000.31 = 366,915.35 : x
  2. Step 2: Convert to fraction form
    409,468.91/611,000.31 = 366,915.35/x
  3. Step 3: Cross multiply
    409,468.91x = 611,000.31 × 366,915.35
  4. Step 4: Simplify right side
    409,468.91x = 224,185,395,497.19
  5. Step 5: Solve for x
    x = 224,185,395,497.19/409,468.91
  6. Step 6: Final answer
    x = 547,502.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.