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Finding the Fourth Proportional to 380,491.80, 570,825.18 and 114,257.36

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Solution

The fourth proportional to 380,491.80, 570,825.18 and 114,257.36 is: 171,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,491.80 : 570,825.18 = 114,257.36 : x
  2. Step 2: Convert to fraction form
    380,491.80/570,825.18 = 114,257.36/x
  3. Step 3: Cross multiply
    380,491.80x = 570,825.18 × 114,257.36
  4. Step 4: Simplify right side
    380,491.80x = 65,220,978,088.32
  5. Step 5: Solve for x
    x = 65,220,978,088.32/380,491.80
  6. Step 6: Final answer
    x = 171,412.31

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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.