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Finding the Fourth Proportional to 341,994, 513,046.12 and 105,336.56

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Solution

The fourth proportional to 341,994, 513,046.12 and 105,336.56 is: 158,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,994 : 513,046.12 = 105,336.56 : x
  2. Step 2: Convert to fraction form
    341,994/513,046.12 = 105,336.56/x
  3. Step 3: Cross multiply
    341,994x = 513,046.12 × 105,336.56
  4. Step 4: Simplify right side
    341,994x = 54,042,513,402.15
  5. Step 5: Solve for x
    x = 54,042,513,402.15/341,994
  6. Step 6: Final answer
    x = 158,021.82

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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.