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Finding the Fourth Proportional to 615,864.80, 922,933.20 and 489,720.80

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Solution

The fourth proportional to 615,864.80, 922,933.20 and 489,720.80 is: 733,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,864.80 : 922,933.20 = 489,720.80 : x
  2. Step 2: Convert to fraction form
    615,864.80/922,933.20 = 489,720.80/x
  3. Step 3: Cross multiply
    615,864.80x = 922,933.20 × 489,720.80
  4. Step 4: Simplify right side
    615,864.80x = 451,979,585,050.56
  5. Step 5: Solve for x
    x = 451,979,585,050.56/615,864.80
  6. Step 6: Final answer
    x = 733,894.17

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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.