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Finding the Fourth Proportional to 385,625.60, 578,438.40 and 227,772.80

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Solution

The fourth proportional to 385,625.60, 578,438.40 and 227,772.80 is: 341,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,625.60 : 578,438.40 = 227,772.80 : x
  2. Step 2: Convert to fraction form
    385,625.60/578,438.40 = 227,772.80/x
  3. Step 3: Cross multiply
    385,625.60x = 578,438.40 × 227,772.80
  4. Step 4: Simplify right side
    385,625.60x = 131,752,533,995.52
  5. Step 5: Solve for x
    x = 131,752,533,995.52/385,625.60
  6. Step 6: Final answer
    x = 341,659.20

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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.