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Finding the Fourth Proportional to 401,291.40, 601,937.10 and 357,745.80

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Solution

The fourth proportional to 401,291.40, 601,937.10 and 357,745.80 is: 536,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,291.40 : 601,937.10 = 357,745.80 : x
  2. Step 2: Convert to fraction form
    401,291.40/601,937.10 = 357,745.80/x
  3. Step 3: Cross multiply
    401,291.40x = 601,937.10 × 357,745.80
  4. Step 4: Simplify right side
    401,291.40x = 215,340,469,389.18
  5. Step 5: Solve for x
    x = 215,340,469,389.18/401,291.40
  6. Step 6: Final answer
    x = 536,618.70

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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.