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Finding the Fourth Proportional to 281,413.85, 388,347.26 and 154,089.45

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Solution

The fourth proportional to 281,413.85, 388,347.26 and 154,089.45 is: 212,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,413.85 : 388,347.26 = 154,089.45 : x
  2. Step 2: Convert to fraction form
    281,413.85/388,347.26 = 154,089.45/x
  3. Step 3: Cross multiply
    281,413.85x = 388,347.26 × 154,089.45
  4. Step 4: Simplify right side
    281,413.85x = 59,840,214,931.96
  5. Step 5: Solve for x
    x = 59,840,214,931.96/281,413.85
  6. Step 6: Final answer
    x = 212,641.33

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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.