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Finding the Fourth Proportional to 213,263,362.40, 298,971,815.20 and 213,263,362.40

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Solution

The fourth proportional to 213,263,362.40, 298,971,815.20 and 213,263,362.40 is: 298,971,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,263,362.40 : 298,971,815.20 = 213,263,362.40 : x
  2. Step 2: Convert to fraction form
    213,263,362.40/298,971,815.20 = 213,263,362.40/x
  3. Step 3: Cross multiply
    213,263,362.40x = 298,971,815.20 × 213,263,362.40
  4. Step 4: Simplify right side
    213,263,362.40x = 63,759,734,572,383,424
  5. Step 5: Solve for x
    x = 63,759,734,572,383,424/213,263,362.40
  6. Step 6: Final answer
    x = 298,971,815.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.