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Finding the Fourth Proportional to 380,486.23, 570,715.50 and 114,239.82

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Solution

The fourth proportional to 380,486.23, 570,715.50 and 114,239.82 is: 171,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,486.23 : 570,715.50 = 114,239.82 : x
  2. Step 2: Convert to fraction form
    380,486.23/570,715.50 = 114,239.82/x
  3. Step 3: Cross multiply
    380,486.23x = 570,715.50 × 114,239.82
  4. Step 4: Simplify right side
    380,486.23x = 65,198,437,275.27
  5. Step 5: Solve for x
    x = 65,198,437,275.27/380,486.23
  6. Step 6: Final answer
    x = 171,355.58

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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.