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Finding the Fourth Proportional to 472,290.91, 708,086.44 and 285,258.67

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Solution

The fourth proportional to 472,290.91, 708,086.44 and 285,258.67 is: 427,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,290.91 : 708,086.44 = 285,258.67 : x
  2. Step 2: Convert to fraction form
    472,290.91/708,086.44 = 285,258.67/x
  3. Step 3: Cross multiply
    472,290.91x = 708,086.44 × 285,258.67
  4. Step 4: Simplify right side
    472,290.91x = 201,987,794,705.79
  5. Step 5: Solve for x
    x = 201,987,794,705.79/472,290.91
  6. Step 6: Final answer
    x = 427,676.65

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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.