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Finding the Fourth Proportional to 345,999.86, 518,955.15 and 109,366.46

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Solution

The fourth proportional to 345,999.86, 518,955.15 and 109,366.46 is: 164,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,999.86 : 518,955.15 = 109,366.46 : x
  2. Step 2: Convert to fraction form
    345,999.86/518,955.15 = 109,366.46/x
  3. Step 3: Cross multiply
    345,999.86x = 518,955.15 × 109,366.46
  4. Step 4: Simplify right side
    345,999.86x = 56,756,287,654.27
  5. Step 5: Solve for x
    x = 56,756,287,654.27/345,999.86
  6. Step 6: Final answer
    x = 164,035.58

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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.