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Finding the Fourth Proportional to 260,533.92, 359,698.08 and 199,988.64

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Solution

The fourth proportional to 260,533.92, 359,698.08 and 199,988.64 is: 276,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,533.92 : 359,698.08 = 199,988.64 : x
  2. Step 2: Convert to fraction form
    260,533.92/359,698.08 = 199,988.64/x
  3. Step 3: Cross multiply
    260,533.92x = 359,698.08 × 199,988.64
  4. Step 4: Simplify right side
    260,533.92x = 71,935,529,829.81
  5. Step 5: Solve for x
    x = 71,935,529,829.81/260,533.92
  6. Step 6: Final answer
    x = 276,108.12

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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.