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Finding the Fourth Proportional to 528,744.96, 729,668.16 and 287,027.28

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Solution

The fourth proportional to 528,744.96, 729,668.16 and 287,027.28 is: 396,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,744.96 : 729,668.16 = 287,027.28 : x
  2. Step 2: Convert to fraction form
    528,744.96/729,668.16 = 287,027.28/x
  3. Step 3: Cross multiply
    528,744.96x = 729,668.16 × 287,027.28
  4. Step 4: Simplify right side
    528,744.96x = 209,434,667,267.41
  5. Step 5: Solve for x
    x = 209,434,667,267.41/528,744.96
  6. Step 6: Final answer
    x = 396,097.71

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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.