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Finding the Fourth Proportional to 399,459.32, 551,265.81 and 218,179.80

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Solution

The fourth proportional to 399,459.32, 551,265.81 and 218,179.80 is: 301,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,459.32 : 551,265.81 = 218,179.80 : x
  2. Step 2: Convert to fraction form
    399,459.32/551,265.81 = 218,179.80/x
  3. Step 3: Cross multiply
    399,459.32x = 551,265.81 × 218,179.80
  4. Step 4: Simplify right side
    399,459.32x = 120,275,064,172.64
  5. Step 5: Solve for x
    x = 120,275,064,172.64/399,459.32
  6. Step 6: Final answer
    x = 301,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.