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Finding the Fourth Proportional to 213,125,999.80, 298,678,730.60 and 213,125,999.80

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Solution

The fourth proportional to 213,125,999.80, 298,678,730.60 and 213,125,999.80 is: 298,678,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125,999.80 : 298,678,730.60 = 213,125,999.80 : x
  2. Step 2: Convert to fraction form
    213,125,999.80/298,678,730.60 = 213,125,999.80/x
  3. Step 3: Cross multiply
    213,125,999.80x = 298,678,730.60 × 213,125,999.80
  4. Step 4: Simplify right side
    213,125,999.80x = 63,656,203,078,119,864
  5. Step 5: Solve for x
    x = 63,656,203,078,119,864/213,125,999.80
  6. Step 6: Final answer
    x = 298,678,730.60

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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.