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Finding the Fourth Proportional to 315,171.14, 470,298.54 and 281,203.64

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Solution

The fourth proportional to 315,171.14, 470,298.54 and 281,203.64 is: 419,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171.14 : 470,298.54 = 281,203.64 : x
  2. Step 2: Convert to fraction form
    315,171.14/470,298.54 = 281,203.64/x
  3. Step 3: Cross multiply
    315,171.14x = 470,298.54 × 281,203.64
  4. Step 4: Simplify right side
    315,171.14x = 132,249,659,928.67
  5. Step 5: Solve for x
    x = 132,249,659,928.67/315,171.14
  6. Step 6: Final answer
    x = 419,612.21

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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.