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Finding the Fourth Proportional to 472,290.35, 708,085.60 and 285,258.11

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Solution

The fourth proportional to 472,290.35, 708,085.60 and 285,258.11 is: 427,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,290.35 : 708,085.60 = 285,258.11 : x
  2. Step 2: Convert to fraction form
    472,290.35/708,085.60 = 285,258.11/x
  3. Step 3: Cross multiply
    472,290.35x = 708,085.60 × 285,258.11
  4. Step 4: Simplify right side
    472,290.35x = 201,987,155,720.64
  5. Step 5: Solve for x
    x = 201,987,155,720.64/472,290.35
  6. Step 6: Final answer
    x = 427,675.81

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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.