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Finding the Fourth Proportional to 299,635.04, 413,496.32 and 172,307.84

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Solution

The fourth proportional to 299,635.04, 413,496.32 and 172,307.84 is: 237,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,635.04 : 413,496.32 = 172,307.84 : x
  2. Step 2: Convert to fraction form
    299,635.04/413,496.32 = 172,307.84/x
  3. Step 3: Cross multiply
    299,635.04x = 413,496.32 × 172,307.84
  4. Step 4: Simplify right side
    299,635.04x = 71,248,657,747.15
  5. Step 5: Solve for x
    x = 71,248,657,747.15/299,635.04
  6. Step 6: Final answer
    x = 237,784.80

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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.