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Finding the Fourth Proportional to 385,255.20, 577,882.80 and 245,632.80

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Solution

The fourth proportional to 385,255.20, 577,882.80 and 245,632.80 is: 368,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,255.20 : 577,882.80 = 245,632.80 : x
  2. Step 2: Convert to fraction form
    385,255.20/577,882.80 = 245,632.80/x
  3. Step 3: Cross multiply
    385,255.20x = 577,882.80 × 245,632.80
  4. Step 4: Simplify right side
    385,255.20x = 141,946,970,235.84
  5. Step 5: Solve for x
    x = 141,946,970,235.84/385,255.20
  6. Step 6: Final answer
    x = 368,449.20

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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.