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Finding the Fourth Proportional to 380,622.50, 570,911.79 and 114,377.30

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Solution

The fourth proportional to 380,622.50, 570,911.79 and 114,377.30 is: 171,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,622.50 : 570,911.79 = 114,377.30 : x
  2. Step 2: Convert to fraction form
    380,622.50/570,911.79 = 114,377.30/x
  3. Step 3: Cross multiply
    380,622.50x = 570,911.79 × 114,377.30
  4. Step 4: Simplify right side
    380,622.50x = 65,299,349,078.37
  5. Step 5: Solve for x
    x = 65,299,349,078.37/380,622.50
  6. Step 6: Final answer
    x = 171,559.35

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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.