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Finding the Fourth Proportional to 343,421.60, 515,240.40 and 165,934.40

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Solution

The fourth proportional to 343,421.60, 515,240.40 and 165,934.40 is: 248,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,421.60 : 515,240.40 = 165,934.40 : x
  2. Step 2: Convert to fraction form
    343,421.60/515,240.40 = 165,934.40/x
  3. Step 3: Cross multiply
    343,421.60x = 515,240.40 × 165,934.40
  4. Step 4: Simplify right side
    343,421.60x = 85,496,106,629.76
  5. Step 5: Solve for x
    x = 85,496,106,629.76/343,421.60
  6. Step 6: Final answer
    x = 248,953.78

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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.