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Finding the Fourth Proportional to 489,312,840.60, 733,969,260.90 and 198,319,368.60

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Solution

The fourth proportional to 489,312,840.60, 733,969,260.90 and 198,319,368.60 is: 297,479,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,312,840.60 : 733,969,260.90 = 198,319,368.60 : x
  2. Step 2: Convert to fraction form
    489,312,840.60/733,969,260.90 = 198,319,368.60/x
  3. Step 3: Cross multiply
    489,312,840.60x = 733,969,260.90 × 198,319,368.60
  4. Step 4: Simplify right side
    489,312,840.60x = 145,560,320,393,496,672
  5. Step 5: Solve for x
    x = 145,560,320,393,496,672/489,312,840.60
  6. Step 6: Final answer
    x = 297,479,052.90

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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.