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Finding the Fourth Proportional to 198,490,783.65, 278,174,075.25 and 198,490,783.65

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Solution

The fourth proportional to 198,490,783.65, 278,174,075.25 and 198,490,783.65 is: 278,174,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,490,783.65 : 278,174,075.25 = 198,490,783.65 : x
  2. Step 2: Convert to fraction form
    198,490,783.65/278,174,075.25 = 198,490,783.65/x
  3. Step 3: Cross multiply
    198,490,783.65x = 278,174,075.25 × 198,490,783.65
  4. Step 4: Simplify right side
    198,490,783.65x = 55,214,990,187,486,568
  5. Step 5: Solve for x
    x = 55,214,990,187,486,568/198,490,783.65
  6. Step 6: Final answer
    x = 278,174,075.25

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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.