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Finding the Fourth Proportional to 411,413.10, 617,178.68 and 127,128.47

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Solution

The fourth proportional to 411,413.10, 617,178.68 and 127,128.47 is: 190,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,413.10 : 617,178.68 = 127,128.47 : x
  2. Step 2: Convert to fraction form
    411,413.10/617,178.68 = 127,128.47/x
  3. Step 3: Cross multiply
    411,413.10x = 617,178.68 × 127,128.47
  4. Step 4: Simplify right side
    411,413.10x = 78,460,977,583.48
  5. Step 5: Solve for x
    x = 78,460,977,583.48/411,413.10
  6. Step 6: Final answer
    x = 190,710.94

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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.