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Finding the Fourth Proportional to 380,291.64, 570,403.32 and 114,111.60

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Solution

The fourth proportional to 380,291.64, 570,403.32 and 114,111.60 is: 171,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,291.64 : 570,403.32 = 114,111.60 : x
  2. Step 2: Convert to fraction form
    380,291.64/570,403.32 = 114,111.60/x
  3. Step 3: Cross multiply
    380,291.64x = 570,403.32 × 114,111.60
  4. Step 4: Simplify right side
    380,291.64x = 65,089,635,490.51
  5. Step 5: Solve for x
    x = 65,089,635,490.51/380,291.64
  6. Step 6: Final answer
    x = 171,157.16

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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.