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Finding the Fourth Proportional to 385,213.60, 577,820.40 and 175,261.60

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Solution

The fourth proportional to 385,213.60, 577,820.40 and 175,261.60 is: 262,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,213.60 : 577,820.40 = 175,261.60 : x
  2. Step 2: Convert to fraction form
    385,213.60/577,820.40 = 175,261.60/x
  3. Step 3: Cross multiply
    385,213.60x = 577,820.40 × 175,261.60
  4. Step 4: Simplify right side
    385,213.60x = 101,269,727,816.64
  5. Step 5: Solve for x
    x = 101,269,727,816.64/385,213.60
  6. Step 6: Final answer
    x = 262,892.40

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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.