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Finding the Fourth Proportional to 299,480.89, 413,278.09 and 170,416.50

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Solution

The fourth proportional to 299,480.89, 413,278.09 and 170,416.50 is: 235,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,480.89 : 413,278.09 = 170,416.50 : x
  2. Step 2: Convert to fraction form
    299,480.89/413,278.09 = 170,416.50/x
  3. Step 3: Cross multiply
    299,480.89x = 413,278.09 × 170,416.50
  4. Step 4: Simplify right side
    299,480.89x = 70,429,406,748.24
  5. Step 5: Solve for x
    x = 70,429,406,748.24/299,480.89
  6. Step 6: Final answer
    x = 235,171.62

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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.