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Finding the Fourth Proportional to 488,411.88, 674,029.17 and 284,429.91

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Solution

The fourth proportional to 488,411.88, 674,029.17 and 284,429.91 is: 392,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,411.88 : 674,029.17 = 284,429.91 : x
  2. Step 2: Convert to fraction form
    488,411.88/674,029.17 = 284,429.91/x
  3. Step 3: Cross multiply
    488,411.88x = 674,029.17 × 284,429.91
  4. Step 4: Simplify right side
    488,411.88x = 191,714,056,160.48
  5. Step 5: Solve for x
    x = 191,714,056,160.48/488,411.88
  6. Step 6: Final answer
    x = 392,525.37

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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.