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Finding the Fourth Proportional to 470,698.90, 649,565.31 and 255,838.39

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Solution

The fourth proportional to 470,698.90, 649,565.31 and 255,838.39 is: 353,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,698.90 : 649,565.31 = 255,838.39 : x
  2. Step 2: Convert to fraction form
    470,698.90/649,565.31 = 255,838.39/x
  3. Step 3: Cross multiply
    470,698.90x = 649,565.31 × 255,838.39
  4. Step 4: Simplify right side
    470,698.90x = 166,183,743,110.25
  5. Step 5: Solve for x
    x = 166,183,743,110.25/470,698.90
  6. Step 6: Final answer
    x = 353,057.43

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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.