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Finding the Fourth Proportional to 299,703.70, 447,369.33 and 261,869.28

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Solution

The fourth proportional to 299,703.70, 447,369.33 and 261,869.28 is: 390,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,703.70 : 447,369.33 = 261,869.28 : x
  2. Step 2: Convert to fraction form
    299,703.70/447,369.33 = 261,869.28/x
  3. Step 3: Cross multiply
    299,703.70x = 447,369.33 × 261,869.28
  4. Step 4: Simplify right side
    299,703.70x = 117,152,280,794.99
  5. Step 5: Solve for x
    x = 117,152,280,794.99/299,703.70
  6. Step 6: Final answer
    x = 390,893.68

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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.