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Finding the Fourth Proportional to 380,268.57, 570,714.66 and 155,631.17

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Solution

The fourth proportional to 380,268.57, 570,714.66 and 155,631.17 is: 233,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,268.57 : 570,714.66 = 155,631.17 : x
  2. Step 2: Convert to fraction form
    380,268.57/570,714.66 = 155,631.17/x
  3. Step 3: Cross multiply
    380,268.57x = 570,714.66 × 155,631.17
  4. Step 4: Simplify right side
    380,268.57x = 88,820,991,698.74
  5. Step 5: Solve for x
    x = 88,820,991,698.74/380,268.57
  6. Step 6: Final answer
    x = 233,574.37

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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.