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Finding the Fourth Proportional to 470,936.20, 706,404.30 and 281,979.40

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Solution

The fourth proportional to 470,936.20, 706,404.30 and 281,979.40 is: 422,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,936.20 : 706,404.30 = 281,979.40 : x
  2. Step 2: Convert to fraction form
    470,936.20/706,404.30 = 281,979.40/x
  3. Step 3: Cross multiply
    470,936.20x = 706,404.30 × 281,979.40
  4. Step 4: Simplify right side
    470,936.20x = 199,191,460,671.42
  5. Step 5: Solve for x
    x = 199,191,460,671.42/470,936.20
  6. Step 6: Final answer
    x = 422,969.10

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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.