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Finding the Fourth Proportional to 897,228,728.40, 1,347,228,775.80 and 489,082,040.40

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Solution

The fourth proportional to 897,228,728.40, 1,347,228,775.80 and 489,082,040.40 is: 734,378,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,228,728.40 : 1,347,228,775.80 = 489,082,040.40 : x
  2. Step 2: Convert to fraction form
    897,228,728.40/1,347,228,775.80 = 489,082,040.40/x
  3. Step 3: Cross multiply
    897,228,728.40x = 1,347,228,775.80 × 489,082,040.40
  4. Step 4: Simplify right side
    897,228,728.40x = 658,905,398,553,858,048
  5. Step 5: Solve for x
    x = 658,905,398,553,858,048/897,228,728.40
  6. Step 6: Final answer
    x = 734,378,400.62

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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.