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Finding the Fourth Proportional to 368,876.96, 509,071.90 and 225,664.45

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Solution

The fourth proportional to 368,876.96, 509,071.90 and 225,664.45 is: 311,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,876.96 : 509,071.90 = 225,664.45 : x
  2. Step 2: Convert to fraction form
    368,876.96/509,071.90 = 225,664.45/x
  3. Step 3: Cross multiply
    368,876.96x = 509,071.90 × 225,664.45
  4. Step 4: Simplify right side
    368,876.96x = 114,879,430,323.96
  5. Step 5: Solve for x
    x = 114,879,430,323.96/368,876.96
  6. Step 6: Final answer
    x = 311,430.21

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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.