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Finding the Fourth Proportional to 289,603,726.40, 434,405,589.60 and 85,152,468.80

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Solution

The fourth proportional to 289,603,726.40, 434,405,589.60 and 85,152,468.80 is: 127,728,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,603,726.40 : 434,405,589.60 = 85,152,468.80 : x
  2. Step 2: Convert to fraction form
    289,603,726.40/434,405,589.60 = 85,152,468.80/x
  3. Step 3: Cross multiply
    289,603,726.40x = 434,405,589.60 × 85,152,468.80
  4. Step 4: Simplify right side
    289,603,726.40x = 36,990,708,414,959,608
  5. Step 5: Solve for x
    x = 36,990,708,414,959,608/289,603,726.40
  6. Step 6: Final answer
    x = 127,728,703.20

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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.