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Finding the Fourth Proportional to 344,253.60, 516,121.20 and 144,410.40

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Solution

The fourth proportional to 344,253.60, 516,121.20 and 144,410.40 is: 216,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,253.60 : 516,121.20 = 144,410.40 : x
  2. Step 2: Convert to fraction form
    344,253.60/516,121.20 = 144,410.40/x
  3. Step 3: Cross multiply
    344,253.60x = 516,121.20 × 144,410.40
  4. Step 4: Simplify right side
    344,253.60x = 74,533,268,940.48
  5. Step 5: Solve for x
    x = 74,533,268,940.48/344,253.60
  6. Step 6: Final answer
    x = 216,506.87

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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.