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Finding the Fourth Proportional to 401,014, 553,399.32 and 239,875.84

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Solution

The fourth proportional to 401,014, 553,399.32 and 239,875.84 is: 331,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,014 : 553,399.32 = 239,875.84 : x
  2. Step 2: Convert to fraction form
    401,014/553,399.32 = 239,875.84/x
  3. Step 3: Cross multiply
    401,014x = 553,399.32 × 239,875.84
  4. Step 4: Simplify right side
    401,014x = 132,747,126,740.43
  5. Step 5: Solve for x
    x = 132,747,126,740.43/401,014
  6. Step 6: Final answer
    x = 331,028.66

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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.