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Finding the Fourth Proportional to 384,321.60, 530,314.08 and 214,562.88

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Solution

The fourth proportional to 384,321.60, 530,314.08 and 214,562.88 is: 296,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,321.60 : 530,314.08 = 214,562.88 : x
  2. Step 2: Convert to fraction form
    384,321.60/530,314.08 = 214,562.88/x
  3. Step 3: Cross multiply
    384,321.60x = 530,314.08 × 214,562.88
  4. Step 4: Simplify right side
    384,321.60x = 113,785,716,309.35
  5. Step 5: Solve for x
    x = 113,785,716,309.35/384,321.60
  6. Step 6: Final answer
    x = 296,069.01

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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.