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Finding the Fourth Proportional to 361,054.77, 498,271.13 and 199,909.79

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Solution

The fourth proportional to 361,054.77, 498,271.13 and 199,909.79 is: 275,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,054.77 : 498,271.13 = 199,909.79 : x
  2. Step 2: Convert to fraction form
    361,054.77/498,271.13 = 199,909.79/x
  3. Step 3: Cross multiply
    361,054.77x = 498,271.13 × 199,909.79
  4. Step 4: Simplify right side
    361,054.77x = 99,609,276,961.36
  5. Step 5: Solve for x
    x = 99,609,276,961.36/361,054.77
  6. Step 6: Final answer
    x = 275,884.12

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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.