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Finding the Fourth Proportional to 299,855.34, 449,561.48 and 141,898.86

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Solution

The fourth proportional to 299,855.34, 449,561.48 and 141,898.86 is: 212,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,855.34 : 449,561.48 = 141,898.86 : x
  2. Step 2: Convert to fraction form
    299,855.34/449,561.48 = 141,898.86/x
  3. Step 3: Cross multiply
    299,855.34x = 449,561.48 × 141,898.86
  4. Step 4: Simplify right side
    299,855.34x = 63,792,260,802.42
  5. Step 5: Solve for x
    x = 63,792,260,802.42/299,855.34
  6. Step 6: Final answer
    x = 212,743.45

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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.