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Finding the Fourth Proportional to 380,969.29, 570,332.46 and 281,572.57

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Solution

The fourth proportional to 380,969.29, 570,332.46 and 281,572.57 is: 421,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,969.29 : 570,332.46 = 281,572.57 : x
  2. Step 2: Convert to fraction form
    380,969.29/570,332.46 = 281,572.57/x
  3. Step 3: Cross multiply
    380,969.29x = 570,332.46 × 281,572.57
  4. Step 4: Simplify right side
    380,969.29x = 160,589,973,664.96
  5. Step 5: Solve for x
    x = 160,589,973,664.96/380,969.29
  6. Step 6: Final answer
    x = 421,529.98

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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.