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Finding the Fourth Proportional to 379,615.28, 523,844.12 and 218,444.32

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Solution

The fourth proportional to 379,615.28, 523,844.12 and 218,444.32 is: 301,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,615.28 : 523,844.12 = 218,444.32 : x
  2. Step 2: Convert to fraction form
    379,615.28/523,844.12 = 218,444.32/x
  3. Step 3: Cross multiply
    379,615.28x = 523,844.12 × 218,444.32
  4. Step 4: Simplify right side
    379,615.28x = 114,430,772,579.40
  5. Step 5: Solve for x
    x = 114,430,772,579.40/379,615.28
  6. Step 6: Final answer
    x = 301,438.80

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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.