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Finding the Fourth Proportional to 789,696, 1,089,784.80 and 432,000

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Solution

The fourth proportional to 789,696, 1,089,784.80 and 432,000 is: 596,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,696 : 1,089,784.80 = 432,000 : x
  2. Step 2: Convert to fraction form
    789,696/1,089,784.80 = 432,000/x
  3. Step 3: Cross multiply
    789,696x = 1,089,784.80 × 432,000
  4. Step 4: Simplify right side
    789,696x = 470,787,033,600
  5. Step 5: Solve for x
    x = 470,787,033,600/789,696
  6. Step 6: Final answer
    x = 596,162.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.