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Finding the Fourth Proportional to 256,829.76, 385,297.19 and 88,328.16

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Solution

The fourth proportional to 256,829.76, 385,297.19 and 88,328.16 is: 132,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.76 : 385,297.19 = 88,328.16 : x
  2. Step 2: Convert to fraction form
    256,829.76/385,297.19 = 88,328.16/x
  3. Step 3: Cross multiply
    256,829.76x = 385,297.19 × 88,328.16
  4. Step 4: Simplify right side
    256,829.76x = 34,032,591,845.87
  5. Step 5: Solve for x
    x = 34,032,591,845.87/256,829.76
  6. Step 6: Final answer
    x = 132,510.31

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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.