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Finding the Fourth Proportional to 355,042.94, 489,962.61 and 202,073.63

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Solution

The fourth proportional to 355,042.94, 489,962.61 and 202,073.63 is: 278,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,042.94 : 489,962.61 = 202,073.63 : x
  2. Step 2: Convert to fraction form
    355,042.94/489,962.61 = 202,073.63/x
  3. Step 3: Cross multiply
    355,042.94x = 489,962.61 × 202,073.63
  4. Step 4: Simplify right side
    355,042.94x = 99,008,520,717.16
  5. Step 5: Solve for x
    x = 99,008,520,717.16/355,042.94
  6. Step 6: Final answer
    x = 278,863.51

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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.