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Finding the Fourth Proportional to 343,825.68, 515,762.64 and 143,944.32

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Solution

The fourth proportional to 343,825.68, 515,762.64 and 143,944.32 is: 215,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,825.68 : 515,762.64 = 143,944.32 : x
  2. Step 2: Convert to fraction form
    343,825.68/515,762.64 = 143,944.32/x
  3. Step 3: Cross multiply
    343,825.68x = 515,762.64 × 143,944.32
  4. Step 4: Simplify right side
    343,825.68x = 74,241,102,496.20
  5. Step 5: Solve for x
    x = 74,241,102,496.20/343,825.68
  6. Step 6: Final answer
    x = 215,926.58

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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.