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Finding the Fourth Proportional to 322,583.60, 482,953.80 and 285,719.60

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Solution

The fourth proportional to 322,583.60, 482,953.80 and 285,719.60 is: 427,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,583.60 : 482,953.80 = 285,719.60 : x
  2. Step 2: Convert to fraction form
    322,583.60/482,953.80 = 285,719.60/x
  3. Step 3: Cross multiply
    322,583.60x = 482,953.80 × 285,719.60
  4. Step 4: Simplify right side
    322,583.60x = 137,989,366,554.48
  5. Step 5: Solve for x
    x = 137,989,366,554.48/322,583.60
  6. Step 6: Final answer
    x = 427,763.12

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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.