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Finding the Fourth Proportional to 384,210.65, 530,189.12 and 214,455.71

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Solution

The fourth proportional to 384,210.65, 530,189.12 and 214,455.71 is: 295,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.65 : 530,189.12 = 214,455.71 : x
  2. Step 2: Convert to fraction form
    384,210.65/530,189.12 = 214,455.71/x
  3. Step 3: Cross multiply
    384,210.65x = 530,189.12 × 214,455.71
  4. Step 4: Simplify right side
    384,210.65x = 113,702,081,512.93
  5. Step 5: Solve for x
    x = 113,702,081,512.93/384,210.65
  6. Step 6: Final answer
    x = 295,936.83

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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.