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Finding the Fourth Proportional to 568,415.40, 784,413.12 and 313,766.52

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Solution

The fourth proportional to 568,415.40, 784,413.12 and 313,766.52 is: 432,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,415.40 : 784,413.12 = 313,766.52 : x
  2. Step 2: Convert to fraction form
    568,415.40/784,413.12 = 313,766.52/x
  3. Step 3: Cross multiply
    568,415.40x = 784,413.12 × 313,766.52
  4. Step 4: Simplify right side
    568,415.40x = 246,122,574,904.74
  5. Step 5: Solve for x
    x = 246,122,574,904.74/568,415.40
  6. Step 6: Final answer
    x = 432,997.72

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1.5x scale

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.