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Finding the Fourth Proportional to 389,859.60, 585,019.80 and 284,413.20

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Solution

The fourth proportional to 389,859.60, 585,019.80 and 284,413.20 is: 426,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,859.60 : 585,019.80 = 284,413.20 : x
  2. Step 2: Convert to fraction form
    389,859.60/585,019.80 = 284,413.20/x
  3. Step 3: Cross multiply
    389,859.60x = 585,019.80 × 284,413.20
  4. Step 4: Simplify right side
    389,859.60x = 166,387,353,381.36
  5. Step 5: Solve for x
    x = 166,387,353,381.36/389,859.60
  6. Step 6: Final answer
    x = 426,787.88

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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.