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Finding the Fourth Proportional to 382,865.76, 528,212.96 and 382,275.28

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Solution

The fourth proportional to 382,865.76, 528,212.96 and 382,275.28 is: 527,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,865.76 : 528,212.96 = 382,275.28 : x
  2. Step 2: Convert to fraction form
    382,865.76/528,212.96 = 382,275.28/x
  3. Step 3: Cross multiply
    382,865.76x = 528,212.96 × 382,275.28
  4. Step 4: Simplify right side
    382,865.76x = 201,922,757,183.63
  5. Step 5: Solve for x
    x = 201,922,757,183.63/382,865.76
  6. Step 6: Final answer
    x = 527,398.32

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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.