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Finding the Fourth Proportional to 250,998.48, 346,378.32 and 137,828.40

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Solution

The fourth proportional to 250,998.48, 346,378.32 and 137,828.40 is: 190,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,998.48 : 346,378.32 = 137,828.40 : x
  2. Step 2: Convert to fraction form
    250,998.48/346,378.32 = 137,828.40/x
  3. Step 3: Cross multiply
    250,998.48x = 346,378.32 × 137,828.40
  4. Step 4: Simplify right side
    250,998.48x = 47,740,769,640.29
  5. Step 5: Solve for x
    x = 47,740,769,640.29/250,998.48
  6. Step 6: Final answer
    x = 190,203.42

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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.