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Finding the Fourth Proportional to 298,630,608.40, 447,945,912.60 and 83,219,856.40

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Solution

The fourth proportional to 298,630,608.40, 447,945,912.60 and 83,219,856.40 is: 124,829,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,630,608.40 : 447,945,912.60 = 83,219,856.40 : x
  2. Step 2: Convert to fraction form
    298,630,608.40/447,945,912.60 = 83,219,856.40/x
  3. Step 3: Cross multiply
    298,630,608.40x = 447,945,912.60 × 83,219,856.40
  4. Step 4: Simplify right side
    298,630,608.40x = 37,277,994,521,538,952
  5. Step 5: Solve for x
    x = 37,277,994,521,538,952/298,630,608.40
  6. Step 6: Final answer
    x = 124,829,784.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.