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Finding the Fourth Proportional to 393,880.37, 590,820.57 and 314,623.49

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Solution

The fourth proportional to 393,880.37, 590,820.57 and 314,623.49 is: 471,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,880.37 : 590,820.57 = 314,623.49 : x
  2. Step 2: Convert to fraction form
    393,880.37/590,820.57 = 314,623.49/x
  3. Step 3: Cross multiply
    393,880.37x = 590,820.57 × 314,623.49
  4. Step 4: Simplify right side
    393,880.37x = 185,886,026,743.09
  5. Step 5: Solve for x
    x = 185,886,026,743.09/393,880.37
  6. Step 6: Final answer
    x = 471,935.25

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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.