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Finding the Fourth Proportional to 228,447.64, 315,400.62 and 146,809

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Solution

The fourth proportional to 228,447.64, 315,400.62 and 146,809 is: 202,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,447.64 : 315,400.62 = 146,809 : x
  2. Step 2: Convert to fraction form
    228,447.64/315,400.62 = 146,809/x
  3. Step 3: Cross multiply
    228,447.64x = 315,400.62 × 146,809
  4. Step 4: Simplify right side
    228,447.64x = 46,303,649,621.58
  5. Step 5: Solve for x
    x = 46,303,649,621.58/228,447.64
  6. Step 6: Final answer
    x = 202,688.24

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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.