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Finding the Fourth Proportional to 284,674.02, 428,908.38 and 257,688.90

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Solution

The fourth proportional to 284,674.02, 428,908.38 and 257,688.90 is: 388,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,674.02 : 428,908.38 = 257,688.90 : x
  2. Step 2: Convert to fraction form
    284,674.02/428,908.38 = 257,688.90/x
  3. Step 3: Cross multiply
    284,674.02x = 428,908.38 × 257,688.90
  4. Step 4: Simplify right side
    284,674.02x = 110,524,928,642.98
  5. Step 5: Solve for x
    x = 110,524,928,642.98/284,674.02
  6. Step 6: Final answer
    x = 388,250.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.