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Finding the Fourth Proportional to 284,335.43, 424,659.54 and 257,628.02

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Solution

The fourth proportional to 284,335.43, 424,659.54 and 257,628.02 is: 384,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,335.43 : 424,659.54 = 257,628.02 : x
  2. Step 2: Convert to fraction form
    284,335.43/424,659.54 = 257,628.02/x
  3. Step 3: Cross multiply
    284,335.43x = 424,659.54 × 257,628.02
  4. Step 4: Simplify right side
    284,335.43x = 109,404,195,176.17
  5. Step 5: Solve for x
    x = 109,404,195,176.17/284,335.43
  6. Step 6: Final answer
    x = 384,771.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.