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Finding the Fourth Proportional to 315,171.39, 470,298.91 and 281,203.89

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Solution

The fourth proportional to 315,171.39, 470,298.91 and 281,203.89 is: 419,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171.39 : 470,298.91 = 281,203.89 : x
  2. Step 2: Convert to fraction form
    315,171.39/470,298.91 = 281,203.89/x
  3. Step 3: Cross multiply
    315,171.39x = 470,298.91 × 281,203.89
  4. Step 4: Simplify right side
    315,171.39x = 132,249,882,251.75
  5. Step 5: Solve for x
    x = 132,249,882,251.75/315,171.39
  6. Step 6: Final answer
    x = 419,612.59

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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.