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Finding the Fourth Proportional to 401,078.56, 601,212.78 and 251,423.75

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Solution

The fourth proportional to 401,078.56, 601,212.78 and 251,423.75 is: 376,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,078.56 : 601,212.78 = 251,423.75 : x
  2. Step 2: Convert to fraction form
    401,078.56/601,212.78 = 251,423.75/x
  3. Step 3: Cross multiply
    401,078.56x = 601,212.78 × 251,423.75
  4. Step 4: Simplify right side
    401,078.56x = 151,159,168,689.46
  5. Step 5: Solve for x
    x = 151,159,168,689.46/401,078.56
  6. Step 6: Final answer
    x = 376,881.70

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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.