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Finding the Fourth Proportional to 248,364,394.08, 342,760,978.80 and 143,969,416.80

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Solution

The fourth proportional to 248,364,394.08, 342,760,978.80 and 143,969,416.80 is: 198,688,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,364,394.08 : 342,760,978.80 = 143,969,416.80 : x
  2. Step 2: Convert to fraction form
    248,364,394.08/342,760,978.80 = 143,969,416.80/x
  3. Step 3: Cross multiply
    248,364,394.08x = 342,760,978.80 × 143,969,416.80
  4. Step 4: Simplify right side
    248,364,394.08x = 49,347,098,219,633,168
  5. Step 5: Solve for x
    x = 49,347,098,219,633,168/248,364,394.08
  6. Step 6: Final answer
    x = 198,688,295.89

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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.