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Finding the Fourth Proportional to 256,809.60, 385,145.28 and 90,576

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Solution

The fourth proportional to 256,809.60, 385,145.28 and 90,576 is: 135,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,809.60 : 385,145.28 = 90,576 : x
  2. Step 2: Convert to fraction form
    256,809.60/385,145.28 = 90,576/x
  3. Step 3: Cross multiply
    256,809.60x = 385,145.28 × 90,576
  4. Step 4: Simplify right side
    256,809.60x = 34,884,918,881.28
  5. Step 5: Solve for x
    x = 34,884,918,881.28/256,809.60
  6. Step 6: Final answer
    x = 135,839.62

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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.