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Finding the Fourth Proportional to 247,294.26, 370,980 and 78,852.33

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Solution

The fourth proportional to 247,294.26, 370,980 and 78,852.33 is: 118,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,294.26 : 370,980 = 78,852.33 : x
  2. Step 2: Convert to fraction form
    247,294.26/370,980 = 78,852.33/x
  3. Step 3: Cross multiply
    247,294.26x = 370,980 × 78,852.33
  4. Step 4: Simplify right side
    247,294.26x = 29,252,637,383.40
  5. Step 5: Solve for x
    x = 29,252,637,383.40/247,294.26
  6. Step 6: Final answer
    x = 118,290.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.