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Finding the Fourth Proportional to 199,486,977.80, 298,978,524.30 and 97,030,401.80

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Solution

The fourth proportional to 199,486,977.80, 298,978,524.30 and 97,030,401.80 is: 145,423,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,486,977.80 : 298,978,524.30 = 97,030,401.80 : x
  2. Step 2: Convert to fraction form
    199,486,977.80/298,978,524.30 = 97,030,401.80/x
  3. Step 3: Cross multiply
    199,486,977.80x = 298,978,524.30 × 97,030,401.80
  4. Step 4: Simplify right side
    199,486,977.80x = 29,010,006,342,400,064
  5. Step 5: Solve for x
    x = 29,010,006,342,400,064/199,486,977.80
  6. Step 6: Final answer
    x = 145,423,058.00

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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.