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Finding the Fourth Proportional to 308,453.76, 425,540.16 and 207,884.16

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Solution

The fourth proportional to 308,453.76, 425,540.16 and 207,884.16 is: 286,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,453.76 : 425,540.16 = 207,884.16 : x
  2. Step 2: Convert to fraction form
    308,453.76/425,540.16 = 207,884.16/x
  3. Step 3: Cross multiply
    308,453.76x = 425,540.16 × 207,884.16
  4. Step 4: Simplify right side
    308,453.76x = 88,463,058,707.87
  5. Step 5: Solve for x
    x = 88,463,058,707.87/308,453.76
  6. Step 6: Final answer
    x = 286,795.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.