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Finding the Fourth Proportional to 299,499.84, 413,311.68 and 165,363.84

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Solution

The fourth proportional to 299,499.84, 413,311.68 and 165,363.84 is: 228,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,499.84 : 413,311.68 = 165,363.84 : x
  2. Step 2: Convert to fraction form
    299,499.84/413,311.68 = 165,363.84/x
  3. Step 3: Cross multiply
    299,499.84x = 413,311.68 × 165,363.84
  4. Step 4: Simplify right side
    299,499.84x = 68,346,806,521.65
  5. Step 5: Solve for x
    x = 68,346,806,521.65/299,499.84
  6. Step 6: Final answer
    x = 228,203.15

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1.5x scale

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.