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Finding the Fourth Proportional to 299,494.06, 413,739.02 and 259,137.76

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Solution

The fourth proportional to 299,494.06, 413,739.02 and 259,137.76 is: 357,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,494.06 : 413,739.02 = 259,137.76 : x
  2. Step 2: Convert to fraction form
    299,494.06/413,739.02 = 259,137.76/x
  3. Step 3: Cross multiply
    299,494.06x = 413,739.02 × 259,137.76
  4. Step 4: Simplify right side
    299,494.06x = 107,215,402,867.40
  5. Step 5: Solve for x
    x = 107,215,402,867.40/299,494.06
  6. Step 6: Final answer
    x = 357,988.41

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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.