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Finding the Fourth Proportional to 470,690.48, 649,556.81 and 255,830.49

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Solution

The fourth proportional to 470,690.48, 649,556.81 and 255,830.49 is: 353,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,690.48 : 649,556.81 = 255,830.49 : x
  2. Step 2: Convert to fraction form
    470,690.48/649,556.81 = 255,830.49/x
  3. Step 3: Cross multiply
    470,690.48x = 649,556.81 × 255,830.49
  4. Step 4: Simplify right side
    470,690.48x = 166,176,435,705.98
  5. Step 5: Solve for x
    x = 166,176,435,705.98/470,690.48
  6. Step 6: Final answer
    x = 353,048.22

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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.