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Finding the Fourth Proportional to 299,472.40, 413,307.24 and 172,153.36

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Solution

The fourth proportional to 299,472.40, 413,307.24 and 172,153.36 is: 237,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472.40 : 413,307.24 = 172,153.36 : x
  2. Step 2: Convert to fraction form
    299,472.40/413,307.24 = 172,153.36/x
  3. Step 3: Cross multiply
    299,472.40x = 413,307.24 × 172,153.36
  4. Step 4: Simplify right side
    299,472.40x = 71,152,230,078.33
  5. Step 5: Solve for x
    x = 71,152,230,078.33/299,472.40
  6. Step 6: Final answer
    x = 237,591.95

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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.