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Finding the Fourth Proportional to 385,433.60, 577,689.60 and 198,348.80

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Solution

The fourth proportional to 385,433.60, 577,689.60 and 198,348.80 is: 297,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,433.60 : 577,689.60 = 198,348.80 : x
  2. Step 2: Convert to fraction form
    385,433.60/577,689.60 = 198,348.80/x
  3. Step 3: Cross multiply
    385,433.60x = 577,689.60 × 198,348.80
  4. Step 4: Simplify right side
    385,433.60x = 114,584,038,932.48
  5. Step 5: Solve for x
    x = 114,584,038,932.48/385,433.60
  6. Step 6: Final answer
    x = 297,286.07

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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.