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Finding the Fourth Proportional to 470,648.10, 649,498.48 and 255,788.12

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Solution

The fourth proportional to 470,648.10, 649,498.48 and 255,788.12 is: 352,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,648.10 : 649,498.48 = 255,788.12 : x
  2. Step 2: Convert to fraction form
    470,648.10/649,498.48 = 255,788.12/x
  3. Step 3: Cross multiply
    470,648.10x = 649,498.48 × 255,788.12
  4. Step 4: Simplify right side
    470,648.10x = 166,133,995,142.06
  5. Step 5: Solve for x
    x = 166,133,995,142.06/470,648.10
  6. Step 6: Final answer
    x = 352,989.83

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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.