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Finding the Fourth Proportional to 421,413.42, 632,120.70 and 172,095.42

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Solution

The fourth proportional to 421,413.42, 632,120.70 and 172,095.42 is: 258,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,413.42 : 632,120.70 = 172,095.42 : x
  2. Step 2: Convert to fraction form
    421,413.42/632,120.70 = 172,095.42/x
  3. Step 3: Cross multiply
    421,413.42x = 632,120.70 × 172,095.42
  4. Step 4: Simplify right side
    421,413.42x = 108,785,077,357.19
  5. Step 5: Solve for x
    x = 108,785,077,357.19/421,413.42
  6. Step 6: Final answer
    x = 258,143.36

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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.