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Finding the Fourth Proportional to 343,884.64, 515,591.68 and 175,078.32

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Solution

The fourth proportional to 343,884.64, 515,591.68 and 175,078.32 is: 262,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,884.64 : 515,591.68 = 175,078.32 : x
  2. Step 2: Convert to fraction form
    343,884.64/515,591.68 = 175,078.32/x
  3. Step 3: Cross multiply
    343,884.64x = 515,591.68 × 175,078.32
  4. Step 4: Simplify right side
    343,884.64x = 90,268,925,140.38
  5. Step 5: Solve for x
    x = 90,268,925,140.38/343,884.64
  6. Step 6: Final answer
    x = 262,497.69

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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.