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Finding the Fourth Proportional to 404,413.60, 606,401.70 and 167,780.20

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Solution

The fourth proportional to 404,413.60, 606,401.70 and 167,780.20 is: 251,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,413.60 : 606,401.70 = 167,780.20 : x
  2. Step 2: Convert to fraction form
    404,413.60/606,401.70 = 167,780.20/x
  3. Step 3: Cross multiply
    404,413.60x = 606,401.70 × 167,780.20
  4. Step 4: Simplify right side
    404,413.60x = 101,742,198,506.34
  5. Step 5: Solve for x
    x = 101,742,198,506.34/404,413.60
  6. Step 6: Final answer
    x = 251,579.57

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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.