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Finding the Fourth Proportional to 401,109.21, 601,532.55 and 187,811.10

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Solution

The fourth proportional to 401,109.21, 601,532.55 and 187,811.10 is: 281,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,109.21 : 601,532.55 = 187,811.10 : x
  2. Step 2: Convert to fraction form
    401,109.21/601,532.55 = 187,811.10/x
  3. Step 3: Cross multiply
    401,109.21x = 601,532.55 × 187,811.10
  4. Step 4: Simplify right side
    401,109.21x = 112,974,489,901.31
  5. Step 5: Solve for x
    x = 112,974,489,901.31/401,109.21
  6. Step 6: Final answer
    x = 281,655.19

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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.