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Finding the Fourth Proportional to 199,290,890.40, 298,936,335.60 and 199,290,890.40

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Solution

The fourth proportional to 199,290,890.40, 298,936,335.60 and 199,290,890.40 is: 298,936,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290,890.40 : 298,936,335.60 = 199,290,890.40 : x
  2. Step 2: Convert to fraction form
    199,290,890.40/298,936,335.60 = 199,290,890.40/x
  3. Step 3: Cross multiply
    199,290,890.40x = 298,936,335.60 × 199,290,890.40
  4. Step 4: Simplify right side
    199,290,890.40x = 59,575,288,494,637,224
  5. Step 5: Solve for x
    x = 59,575,288,494,637,224/199,290,890.40
  6. Step 6: Final answer
    x = 298,936,335.60

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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.