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Finding the Fourth Proportional to 400,830.35, 601,245.60 and 101,311.79

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Solution

The fourth proportional to 400,830.35, 601,245.60 and 101,311.79 is: 151,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,830.35 : 601,245.60 = 101,311.79 : x
  2. Step 2: Convert to fraction form
    400,830.35/601,245.60 = 101,311.79/x
  3. Step 3: Cross multiply
    400,830.35x = 601,245.60 × 101,311.79
  4. Step 4: Simplify right side
    400,830.35x = 60,913,267,459.07
  5. Step 5: Solve for x
    x = 60,913,267,459.07/400,830.35
  6. Step 6: Final answer
    x = 151,967.70

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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.