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Finding the Fourth Proportional to 489,307,751.80, 733,961,627.70 and 470,496,052.60

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Solution

The fourth proportional to 489,307,751.80, 733,961,627.70 and 470,496,052.60 is: 705,744,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,307,751.80 : 733,961,627.70 = 470,496,052.60 : x
  2. Step 2: Convert to fraction form
    489,307,751.80/733,961,627.70 = 470,496,052.60/x
  3. Step 3: Cross multiply
    489,307,751.80x = 733,961,627.70 × 470,496,052.60
  4. Step 4: Simplify right side
    489,307,751.80x = 345,326,048,592,720,832
  5. Step 5: Solve for x
    x = 345,326,048,592,720,832/489,307,751.80
  6. Step 6: Final answer
    x = 705,744,078.90

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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.