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Finding the Fourth Proportional to 315,507.80, 470,847.02 and 281,849.87

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Solution

The fourth proportional to 315,507.80, 470,847.02 and 281,849.87 is: 420,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,507.80 : 470,847.02 = 281,849.87 : x
  2. Step 2: Convert to fraction form
    315,507.80/470,847.02 = 281,849.87/x
  3. Step 3: Cross multiply
    315,507.80x = 470,847.02 × 281,849.87
  4. Step 4: Simplify right side
    315,507.80x = 132,708,171,376.89
  5. Step 5: Solve for x
    x = 132,708,171,376.89/315,507.80
  6. Step 6: Final answer
    x = 420,617.72

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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.