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Finding the Fourth Proportional to 268,409.34, 370,413.18 and 147,559.86

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Solution

The fourth proportional to 268,409.34, 370,413.18 and 147,559.86 is: 203,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,409.34 : 370,413.18 = 147,559.86 : x
  2. Step 2: Convert to fraction form
    268,409.34/370,413.18 = 147,559.86/x
  3. Step 3: Cross multiply
    268,409.34x = 370,413.18 × 147,559.86
  4. Step 4: Simplify right side
    268,409.34x = 54,658,116,982.95
  5. Step 5: Solve for x
    x = 54,658,116,982.95/268,409.34
  6. Step 6: Final answer
    x = 203,637.16

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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.