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Finding the Fourth Proportional to 706,067.28, 974,225.88 and 419,482.80

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Solution

The fourth proportional to 706,067.28, 974,225.88 and 419,482.80 is: 578,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,067.28 : 974,225.88 = 419,482.80 : x
  2. Step 2: Convert to fraction form
    706,067.28/974,225.88 = 419,482.80/x
  3. Step 3: Cross multiply
    706,067.28x = 974,225.88 × 419,482.80
  4. Step 4: Simplify right side
    706,067.28x = 408,670,999,974.86
  5. Step 5: Solve for x
    x = 408,670,999,974.86/706,067.28
  6. Step 6: Final answer
    x = 578,798.95

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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.