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Finding the Fourth Proportional to 264,311.60, 395,657.40 and 145,619.60

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Solution

The fourth proportional to 264,311.60, 395,657.40 and 145,619.60 is: 217,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,311.60 : 395,657.40 = 145,619.60 : x
  2. Step 2: Convert to fraction form
    264,311.60/395,657.40 = 145,619.60/x
  3. Step 3: Cross multiply
    264,311.60x = 395,657.40 × 145,619.60
  4. Step 4: Simplify right side
    264,311.60x = 57,615,472,325.04
  5. Step 5: Solve for x
    x = 57,615,472,325.04/264,311.60
  6. Step 6: Final answer
    x = 217,983.14

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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.