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Finding the Fourth Proportional to 261,588, 360,991.44 and 142,356

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Solution

The fourth proportional to 261,588, 360,991.44 and 142,356 is: 196,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,588 : 360,991.44 = 142,356 : x
  2. Step 2: Convert to fraction form
    261,588/360,991.44 = 142,356/x
  3. Step 3: Cross multiply
    261,588x = 360,991.44 × 142,356
  4. Step 4: Simplify right side
    261,588x = 51,389,297,432.64
  5. Step 5: Solve for x
    x = 51,389,297,432.64/261,588
  6. Step 6: Final answer
    x = 196,451.28

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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.