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Finding the Fourth Proportional to 299,495.06, 413,740.40 and 259,138.76

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Solution

The fourth proportional to 299,495.06, 413,740.40 and 259,138.76 is: 357,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,495.06 : 413,740.40 = 259,138.76 : x
  2. Step 2: Convert to fraction form
    299,495.06/413,740.40 = 259,138.76/x
  3. Step 3: Cross multiply
    299,495.06x = 413,740.40 × 259,138.76
  4. Step 4: Simplify right side
    299,495.06x = 107,216,174,217.90
  5. Step 5: Solve for x
    x = 107,216,174,217.90/299,495.06
  6. Step 6: Final answer
    x = 357,989.79

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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.