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Finding the Fourth Proportional to 407,995.86, 612,116.01 and 164,711.66

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Solution

The fourth proportional to 407,995.86, 612,116.01 and 164,711.66 is: 247,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,995.86 : 612,116.01 = 164,711.66 : x
  2. Step 2: Convert to fraction form
    407,995.86/612,116.01 = 164,711.66/x
  3. Step 3: Cross multiply
    407,995.86x = 612,116.01 × 164,711.66
  4. Step 4: Simplify right side
    407,995.86x = 100,822,647,547.87
  5. Step 5: Solve for x
    x = 100,822,647,547.87/407,995.86
  6. Step 6: Final answer
    x = 247,116.84

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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.