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Finding the Fourth Proportional to 543,155.08, 814,732.63 and 289,667.60

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Solution

The fourth proportional to 543,155.08, 814,732.63 and 289,667.60 is: 434,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,155.08 : 814,732.63 = 289,667.60 : x
  2. Step 2: Convert to fraction form
    543,155.08/814,732.63 = 289,667.60/x
  3. Step 3: Cross multiply
    543,155.08x = 814,732.63 × 289,667.60
  4. Step 4: Simplify right side
    543,155.08x = 236,001,645,573.79
  5. Step 5: Solve for x
    x = 236,001,645,573.79/543,155.08
  6. Step 6: Final answer
    x = 434,501.41

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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.