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Finding the Fourth Proportional to 472,066.74, 708,717.40 and 280,291.21

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Solution

The fourth proportional to 472,066.74, 708,717.40 and 280,291.21 is: 420,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,066.74 : 708,717.40 = 280,291.21 : x
  2. Step 2: Convert to fraction form
    472,066.74/708,717.40 = 280,291.21/x
  3. Step 3: Cross multiply
    472,066.74x = 708,717.40 × 280,291.21
  4. Step 4: Simplify right side
    472,066.74x = 198,647,255,121.53
  5. Step 5: Solve for x
    x = 198,647,255,121.53/472,066.74
  6. Step 6: Final answer
    x = 420,803.33

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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.