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Finding the Fourth Proportional to 199,320,390.40, 298,413,715.20 and 199,320,390.40

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Solution

The fourth proportional to 199,320,390.40, 298,413,715.20 and 199,320,390.40 is: 298,413,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,320,390.40 : 298,413,715.20 = 199,320,390.40 : x
  2. Step 2: Convert to fraction form
    199,320,390.40/298,413,715.20 = 199,320,390.40/x
  3. Step 3: Cross multiply
    199,320,390.40x = 298,413,715.20 × 199,320,390.40
  4. Step 4: Simplify right side
    199,320,390.40x = 59,479,938,214,378,416
  5. Step 5: Solve for x
    x = 59,479,938,214,378,416/199,320,390.40
  6. Step 6: Final answer
    x = 298,413,715.20

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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.