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Finding the Fourth Proportional to 266,934,200.40, 400,401,300.60 and 209,603,307.60

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Solution

The fourth proportional to 266,934,200.40, 400,401,300.60 and 209,603,307.60 is: 314,404,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,934,200.40 : 400,401,300.60 = 209,603,307.60 : x
  2. Step 2: Convert to fraction form
    266,934,200.40/400,401,300.60 = 209,603,307.60/x
  3. Step 3: Cross multiply
    266,934,200.40x = 400,401,300.60 × 209,603,307.60
  4. Step 4: Simplify right side
    266,934,200.40x = 83,925,436,973,101,872
  5. Step 5: Solve for x
    x = 83,925,436,973,101,872/266,934,200.40
  6. Step 6: Final answer
    x = 314,404,961.40

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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.