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Finding the Fourth Proportional to 314,656.80, 434,226.87 and 171,413.16

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Solution

The fourth proportional to 314,656.80, 434,226.87 and 171,413.16 is: 236,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,656.80 : 434,226.87 = 171,413.16 : x
  2. Step 2: Convert to fraction form
    314,656.80/434,226.87 = 171,413.16/x
  3. Step 3: Cross multiply
    314,656.80x = 434,226.87 × 171,413.16
  4. Step 4: Simplify right side
    314,656.80x = 74,432,199,943.61
  5. Step 5: Solve for x
    x = 74,432,199,943.61/314,656.80
  6. Step 6: Final answer
    x = 236,550.43

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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.