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Finding the Fourth Proportional to 354,175.08, 488,948.49 and 284,509.61

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Solution

The fourth proportional to 354,175.08, 488,948.49 and 284,509.61 is: 392,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,175.08 : 488,948.49 = 284,509.61 : x
  2. Step 2: Convert to fraction form
    354,175.08/488,948.49 = 284,509.61/x
  3. Step 3: Cross multiply
    354,175.08x = 488,948.49 × 284,509.61
  4. Step 4: Simplify right side
    354,175.08x = 139,110,545,266.90
  5. Step 5: Solve for x
    x = 139,110,545,266.90/354,175.08
  6. Step 6: Final answer
    x = 392,773.39

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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.