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Finding the Fourth Proportional to 385,084.84, 577,413.92 and 157,540.28

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Solution

The fourth proportional to 385,084.84, 577,413.92 and 157,540.28 is: 236,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,084.84 : 577,413.92 = 157,540.28 : x
  2. Step 2: Convert to fraction form
    385,084.84/577,413.92 = 157,540.28/x
  3. Step 3: Cross multiply
    385,084.84x = 577,413.92 × 157,540.28
  4. Step 4: Simplify right side
    385,084.84x = 90,965,950,632.70
  5. Step 5: Solve for x
    x = 90,965,950,632.70/385,084.84
  6. Step 6: Final answer
    x = 236,223.14

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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.