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Finding the Fourth Proportional to 299,459.30, 413,247.50 and 163,486.67

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Solution

The fourth proportional to 299,459.30, 413,247.50 and 163,486.67 is: 225,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,459.30 : 413,247.50 = 163,486.67 : x
  2. Step 2: Convert to fraction form
    299,459.30/413,247.50 = 163,486.67/x
  3. Step 3: Cross multiply
    299,459.30x = 413,247.50 × 163,486.67
  4. Step 4: Simplify right side
    299,459.30x = 67,560,455,390.23
  5. Step 5: Solve for x
    x = 67,560,455,390.23/299,459.30
  6. Step 6: Final answer
    x = 225,608.14

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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.