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Finding the Fourth Proportional to 284,032.96, 393,622.48 and 280,024

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Solution

The fourth proportional to 284,032.96, 393,622.48 and 280,024 is: 388,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,032.96 : 393,622.48 = 280,024 : x
  2. Step 2: Convert to fraction form
    284,032.96/393,622.48 = 280,024/x
  3. Step 3: Cross multiply
    284,032.96x = 393,622.48 × 280,024
  4. Step 4: Simplify right side
    284,032.96x = 110,223,741,339.52
  5. Step 5: Solve for x
    x = 110,223,741,339.52/284,032.96
  6. Step 6: Final answer
    x = 388,066.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.