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Finding the Fourth Proportional to 343,455.88, 515,332.14 and 185,795.32

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Solution

The fourth proportional to 343,455.88, 515,332.14 and 185,795.32 is: 278,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,455.88 : 515,332.14 = 185,795.32 : x
  2. Step 2: Convert to fraction form
    343,455.88/515,332.14 = 185,795.32/x
  3. Step 3: Cross multiply
    343,455.88x = 515,332.14 × 185,795.32
  4. Step 4: Simplify right side
    343,455.88x = 95,746,299,857.58
  5. Step 5: Solve for x
    x = 95,746,299,857.58/343,455.88
  6. Step 6: Final answer
    x = 278,773.21

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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.