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Finding the Fourth Proportional to 380,968.79, 570,331.71 and 281,572.07

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Solution

The fourth proportional to 380,968.79, 570,331.71 and 281,572.07 is: 421,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,968.79 : 570,331.71 = 281,572.07 : x
  2. Step 2: Convert to fraction form
    380,968.79/570,331.71 = 281,572.07/x
  3. Step 3: Cross multiply
    380,968.79x = 570,331.71 × 281,572.07
  4. Step 4: Simplify right side
    380,968.79x = 160,589,477,319.68
  5. Step 5: Solve for x
    x = 160,589,477,319.68/380,968.79
  6. Step 6: Final answer
    x = 421,529.23

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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.