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Finding the Fourth Proportional to 470,400.81, 649,149.55 and 255,542.43

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Solution

The fourth proportional to 470,400.81, 649,149.55 and 255,542.43 is: 352,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,400.81 : 649,149.55 = 255,542.43 : x
  2. Step 2: Convert to fraction form
    470,400.81/649,149.55 = 255,542.43/x
  3. Step 3: Cross multiply
    470,400.81x = 649,149.55 × 255,542.43
  4. Step 4: Simplify right side
    470,400.81x = 165,885,253,440.41
  5. Step 5: Solve for x
    x = 165,885,253,440.41/470,400.81
  6. Step 6: Final answer
    x = 352,646.62

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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.