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Finding the Fourth Proportional to 384,069.69, 530,015.76 and 214,303.82

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Solution

The fourth proportional to 384,069.69, 530,015.76 and 214,303.82 is: 295,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,069.69 : 530,015.76 = 214,303.82 : x
  2. Step 2: Convert to fraction form
    384,069.69/530,015.76 = 214,303.82/x
  3. Step 3: Cross multiply
    384,069.69x = 530,015.76 × 214,303.82
  4. Step 4: Simplify right side
    384,069.69x = 113,584,399,378.12
  5. Step 5: Solve for x
    x = 113,584,399,378.12/384,069.69
  6. Step 6: Final answer
    x = 295,739.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.