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Finding the Fourth Proportional to 411,545.80, 617,027.10 and 158,728.60

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Solution

The fourth proportional to 411,545.80, 617,027.10 and 158,728.60 is: 237,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,545.80 : 617,027.10 = 158,728.60 : x
  2. Step 2: Convert to fraction form
    411,545.80/617,027.10 = 158,728.60/x
  3. Step 3: Cross multiply
    411,545.80x = 617,027.10 × 158,728.60
  4. Step 4: Simplify right side
    411,545.80x = 97,939,847,745.06
  5. Step 5: Solve for x
    x = 97,939,847,745.06/411,545.80
  6. Step 6: Final answer
    x = 237,980.43

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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.