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Finding the Fourth Proportional to 285,333.84, 427,968.36 and 74,988.18

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Solution

The fourth proportional to 285,333.84, 427,968.36 and 74,988.18 is: 112,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,333.84 : 427,968.36 = 74,988.18 : x
  2. Step 2: Convert to fraction form
    285,333.84/427,968.36 = 74,988.18/x
  3. Step 3: Cross multiply
    285,333.84x = 427,968.36 × 74,988.18
  4. Step 4: Simplify right side
    285,333.84x = 32,092,568,413.98
  5. Step 5: Solve for x
    x = 32,092,568,413.98/285,333.84
  6. Step 6: Final answer
    x = 112,473.76

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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.