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Finding the Fourth Proportional to 470,992.68, 649,982.16 and 256,145.40

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Solution

The fourth proportional to 470,992.68, 649,982.16 and 256,145.40 is: 353,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,992.68 : 649,982.16 = 256,145.40 : x
  2. Step 2: Convert to fraction form
    470,992.68/649,982.16 = 256,145.40/x
  3. Step 3: Cross multiply
    470,992.68x = 649,982.16 × 256,145.40
  4. Step 4: Simplify right side
    470,992.68x = 166,489,940,366.06
  5. Step 5: Solve for x
    x = 166,489,940,366.06/470,992.68
  6. Step 6: Final answer
    x = 353,487.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.