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Finding the Fourth Proportional to 199,327,900.80, 298,424,980.80 and 153,600,355.20

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Solution

The fourth proportional to 199,327,900.80, 298,424,980.80 and 153,600,355.20 is: 229,963,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,327,900.80 : 298,424,980.80 = 153,600,355.20 : x
  2. Step 2: Convert to fraction form
    199,327,900.80/298,424,980.80 = 153,600,355.20/x
  3. Step 3: Cross multiply
    199,327,900.80x = 298,424,980.80 × 153,600,355.20
  4. Step 4: Simplify right side
    199,327,900.80x = 45,838,183,051,433,176
  5. Step 5: Solve for x
    x = 45,838,183,051,433,176/199,327,900.80
  6. Step 6: Final answer
    x = 229,963,707.38

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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.