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Finding the Fourth Proportional to 355,051.77, 489,906.54 and 202,080.93

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Solution

The fourth proportional to 355,051.77, 489,906.54 and 202,080.93 is: 278,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,051.77 : 489,906.54 = 202,080.93 : x
  2. Step 2: Convert to fraction form
    355,051.77/489,906.54 = 202,080.93/x
  3. Step 3: Cross multiply
    355,051.77x = 489,906.54 × 202,080.93
  4. Step 4: Simplify right side
    355,051.77x = 99,000,769,216.28
  5. Step 5: Solve for x
    x = 99,000,769,216.28/355,051.77
  6. Step 6: Final answer
    x = 278,834.74

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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.