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Finding the Fourth Proportional to 362,448,302.80, 543,672,454.20 and 362,448,302.80

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Solution

The fourth proportional to 362,448,302.80, 543,672,454.20 and 362,448,302.80 is: 543,672,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,448,302.80 : 543,672,454.20 = 362,448,302.80 : x
  2. Step 2: Convert to fraction form
    362,448,302.80/543,672,454.20 = 362,448,302.80/x
  3. Step 3: Cross multiply
    362,448,302.80x = 543,672,454.20 × 362,448,302.80
  4. Step 4: Simplify right side
    362,448,302.80x = 197,053,158,303,900,768
  5. Step 5: Solve for x
    x = 197,053,158,303,900,768/362,448,302.80
  6. Step 6: Final answer
    x = 543,672,454.20

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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.