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Finding the Fourth Proportional to 286,049.40, 429,074.10 and 75,708.60

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Solution

The fourth proportional to 286,049.40, 429,074.10 and 75,708.60 is: 113,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,049.40 : 429,074.10 = 75,708.60 : x
  2. Step 2: Convert to fraction form
    286,049.40/429,074.10 = 75,708.60/x
  3. Step 3: Cross multiply
    286,049.40x = 429,074.10 × 75,708.60
  4. Step 4: Simplify right side
    286,049.40x = 32,484,599,407.26
  5. Step 5: Solve for x
    x = 32,484,599,407.26/286,049.40
  6. Step 6: Final answer
    x = 113,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.