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Finding the Fourth Proportional to 380,636.74, 525,297.45 and 210,871.54

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Solution

The fourth proportional to 380,636.74, 525,297.45 and 210,871.54 is: 291,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,636.74 : 525,297.45 = 210,871.54 : x
  2. Step 2: Convert to fraction form
    380,636.74/525,297.45 = 210,871.54/x
  3. Step 3: Cross multiply
    380,636.74x = 525,297.45 × 210,871.54
  4. Step 4: Simplify right side
    380,636.74x = 110,770,282,239.57
  5. Step 5: Solve for x
    x = 110,770,282,239.57/380,636.74
  6. Step 6: Final answer
    x = 291,013.11

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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.