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Finding the Fourth Proportional to 315,499.05, 470,833.97 and 281,841.12

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Solution

The fourth proportional to 315,499.05, 470,833.97 and 281,841.12 is: 420,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,499.05 : 470,833.97 = 281,841.12 : x
  2. Step 2: Convert to fraction form
    315,499.05/470,833.97 = 281,841.12/x
  3. Step 3: Cross multiply
    315,499.05x = 470,833.97 × 281,841.12
  4. Step 4: Simplify right side
    315,499.05x = 132,700,372,029.64
  5. Step 5: Solve for x
    x = 132,700,372,029.64/315,499.05
  6. Step 6: Final answer
    x = 420,604.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.