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Finding the Fourth Proportional to 399,424, 551,209.54 and 218,141.28

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Solution

The fourth proportional to 399,424, 551,209.54 and 218,141.28 is: 301,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,424 : 551,209.54 = 218,141.28 : x
  2. Step 2: Convert to fraction form
    399,424/551,209.54 = 218,141.28/x
  3. Step 3: Cross multiply
    399,424x = 551,209.54 × 218,141.28
  4. Step 4: Simplify right side
    399,424x = 120,241,554,603.81
  5. Step 5: Solve for x
    x = 120,241,554,603.81/399,424
  6. Step 6: Final answer
    x = 301,037.38

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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.