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Finding the Fourth Proportional to 382,849, 574,299.86 and 130,026.28

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Solution

The fourth proportional to 382,849, 574,299.86 and 130,026.28 is: 195,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,849 : 574,299.86 = 130,026.28 : x
  2. Step 2: Convert to fraction form
    382,849/574,299.86 = 130,026.28/x
  3. Step 3: Cross multiply
    382,849x = 574,299.86 × 130,026.28
  4. Step 4: Simplify right side
    382,849x = 74,674,074,400.32
  5. Step 5: Solve for x
    x = 74,674,074,400.32/382,849
  6. Step 6: Final answer
    x = 195,048.37

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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.