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Finding the Fourth Proportional to 284,371.98, 424,714.29 and 257,664.66

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Solution

The fourth proportional to 284,371.98, 424,714.29 and 257,664.66 is: 384,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,371.98 : 424,714.29 = 257,664.66 : x
  2. Step 2: Convert to fraction form
    284,371.98/424,714.29 = 257,664.66/x
  3. Step 3: Cross multiply
    284,371.98x = 424,714.29 × 257,664.66
  4. Step 4: Simplify right side
    284,371.98x = 109,433,863,129.99
  5. Step 5: Solve for x
    x = 109,433,863,129.99/284,371.98
  6. Step 6: Final answer
    x = 384,826.46

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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.