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Finding the Fourth Proportional to 299,521.84, 449,060.82 and 141,565.72

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Solution

The fourth proportional to 299,521.84, 449,060.82 and 141,565.72 is: 212,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,521.84 : 449,060.82 = 141,565.72 : x
  2. Step 2: Convert to fraction form
    299,521.84/449,060.82 = 141,565.72/x
  3. Step 3: Cross multiply
    299,521.84x = 449,060.82 × 141,565.72
  4. Step 4: Simplify right side
    299,521.84x = 63,571,618,307.09
  5. Step 5: Solve for x
    x = 63,571,618,307.09/299,521.84
  6. Step 6: Final answer
    x = 212,243.68

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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.