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Finding the Fourth Proportional to 209,968,277.80, 314,952,416.70 and 133,346,295.40

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Solution

The fourth proportional to 209,968,277.80, 314,952,416.70 and 133,346,295.40 is: 200,019,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,277.80 : 314,952,416.70 = 133,346,295.40 : x
  2. Step 2: Convert to fraction form
    209,968,277.80/314,952,416.70 = 133,346,295.40/x
  3. Step 3: Cross multiply
    209,968,277.80x = 314,952,416.70 × 133,346,295.40
  4. Step 4: Simplify right side
    209,968,277.80x = 41,997,737,994,222,096
  5. Step 5: Solve for x
    x = 41,997,737,994,222,096/209,968,277.80
  6. Step 6: Final answer
    x = 200,019,443.10

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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.