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Finding the Fourth Proportional to 209,968,253.30, 314,952,379.95 and 133,346,270.90

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Solution

The fourth proportional to 209,968,253.30, 314,952,379.95 and 133,346,270.90 is: 200,019,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,253.30 : 314,952,379.95 = 133,346,270.90 : x
  2. Step 2: Convert to fraction form
    209,968,253.30/314,952,379.95 = 133,346,270.90/x
  3. Step 3: Cross multiply
    209,968,253.30x = 314,952,379.95 × 133,346,270.90
  4. Step 4: Simplify right side
    209,968,253.30x = 41,997,725,377,412,432
  5. Step 5: Solve for x
    x = 41,997,725,377,412,432/209,968,253.30
  6. Step 6: Final answer
    x = 200,019,406.35

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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.