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Finding the Fourth Proportional to 380,395.64, 570,592.86 and 114,155.64

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Solution

The fourth proportional to 380,395.64, 570,592.86 and 114,155.64 is: 171,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,395.64 : 570,592.86 = 114,155.64 : x
  2. Step 2: Convert to fraction form
    380,395.64/570,592.86 = 114,155.64/x
  3. Step 3: Cross multiply
    380,395.64x = 570,592.86 × 114,155.64
  4. Step 4: Simplify right side
    380,395.64x = 65,136,393,112.73
  5. Step 5: Solve for x
    x = 65,136,393,112.73/380,395.64
  6. Step 6: Final answer
    x = 171,233.28

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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.