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Finding the Fourth Proportional to 407,649.20, 611,328.28 and 167,693

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Solution

The fourth proportional to 407,649.20, 611,328.28 and 167,693 is: 251,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,649.20 : 611,328.28 = 167,693 : x
  2. Step 2: Convert to fraction form
    407,649.20/611,328.28 = 167,693/x
  3. Step 3: Cross multiply
    407,649.20x = 611,328.28 × 167,693
  4. Step 4: Simplify right side
    407,649.20x = 102,515,473,258.04
  5. Step 5: Solve for x
    x = 102,515,473,258.04/407,649.20
  6. Step 6: Final answer
    x = 251,479.64

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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.