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Finding the Fourth Proportional to 268,333.40, 402,500.10 and 166,856.60

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Solution

The fourth proportional to 268,333.40, 402,500.10 and 166,856.60 is: 250,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,333.40 : 402,500.10 = 166,856.60 : x
  2. Step 2: Convert to fraction form
    268,333.40/402,500.10 = 166,856.60/x
  3. Step 3: Cross multiply
    268,333.40x = 402,500.10 × 166,856.60
  4. Step 4: Simplify right side
    268,333.40x = 67,159,798,185.66
  5. Step 5: Solve for x
    x = 67,159,798,185.66/268,333.40
  6. Step 6: Final answer
    x = 250,284.90

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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.