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Finding the Fourth Proportional to 380,048.22, 570,269.16 and 275,728.32

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Solution

The fourth proportional to 380,048.22, 570,269.16 and 275,728.32 is: 413,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,048.22 : 570,269.16 = 275,728.32 : x
  2. Step 2: Convert to fraction form
    380,048.22/570,269.16 = 275,728.32/x
  3. Step 3: Cross multiply
    380,048.22x = 570,269.16 × 275,728.32
  4. Step 4: Simplify right side
    380,048.22x = 157,239,357,434.61
  5. Step 5: Solve for x
    x = 157,239,357,434.61/380,048.22
  6. Step 6: Final answer
    x = 413,735.28

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1.5x scale

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.