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Finding the Fourth Proportional to 380,367.45, 570,657.81 and 152,822.85

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Solution

The fourth proportional to 380,367.45, 570,657.81 and 152,822.85 is: 229,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,367.45 : 570,657.81 = 152,822.85 : x
  2. Step 2: Convert to fraction form
    380,367.45/570,657.81 = 152,822.85/x
  3. Step 3: Cross multiply
    380,367.45x = 570,657.81 × 152,822.85
  4. Step 4: Simplify right side
    380,367.45x = 87,209,552,898.96
  5. Step 5: Solve for x
    x = 87,209,552,898.96/380,367.45
  6. Step 6: Final answer
    x = 229,277.12

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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.