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Finding the Fourth Proportional to 472,297.80, 708,446.70 and 259,721.40

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Solution

The fourth proportional to 472,297.80, 708,446.70 and 259,721.40 is: 389,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,297.80 : 708,446.70 = 259,721.40 : x
  2. Step 2: Convert to fraction form
    472,297.80/708,446.70 = 259,721.40/x
  3. Step 3: Cross multiply
    472,297.80x = 708,446.70 × 259,721.40
  4. Step 4: Simplify right side
    472,297.80x = 183,998,768,749.38
  5. Step 5: Solve for x
    x = 183,998,768,749.38/472,297.80
  6. Step 6: Final answer
    x = 389,582.10

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Similar ratio
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1.5x scale

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.