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Finding the Fourth Proportional to 198,908,007.70, 298,362,011.55 and 198,908,007.70

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Solution

The fourth proportional to 198,908,007.70, 298,362,011.55 and 198,908,007.70 is: 298,362,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,908,007.70 : 298,362,011.55 = 198,908,007.70 : x
  2. Step 2: Convert to fraction form
    198,908,007.70/298,362,011.55 = 198,908,007.70/x
  3. Step 3: Cross multiply
    198,908,007.70x = 298,362,011.55 × 198,908,007.70
  4. Step 4: Simplify right side
    198,908,007.70x = 59,346,593,290,774,888
  5. Step 5: Solve for x
    x = 59,346,593,290,774,888/198,908,007.70
  6. Step 6: Final answer
    x = 298,362,011.55

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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.