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Finding the Fourth Proportional to 213,355,318.80, 320,032,978.20 and 204,397,366.80

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Solution

The fourth proportional to 213,355,318.80, 320,032,978.20 and 204,397,366.80 is: 306,596,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,355,318.80 : 320,032,978.20 = 204,397,366.80 : x
  2. Step 2: Convert to fraction form
    213,355,318.80/320,032,978.20 = 204,397,366.80/x
  3. Step 3: Cross multiply
    213,355,318.80x = 320,032,978.20 × 204,397,366.80
  4. Step 4: Simplify right side
    213,355,318.80x = 65,413,898,033,241,808
  5. Step 5: Solve for x
    x = 65,413,898,033,241,808/213,355,318.80
  6. Step 6: Final answer
    x = 306,596,050.20

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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.