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Finding the Fourth Proportional to 6,409,722.96, 8,845,420.32 and 3,509,301.60

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Solution

The fourth proportional to 6,409,722.96, 8,845,420.32 and 3,509,301.60 is: 4,842,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409,722.96 : 8,845,420.32 = 3,509,301.60 : x
  2. Step 2: Convert to fraction form
    6,409,722.96/8,845,420.32 = 3,509,301.60/x
  3. Step 3: Cross multiply
    6,409,722.96x = 8,845,420.32 × 3,509,301.60
  4. Step 4: Simplify right side
    6,409,722.96x = 31,041,247,681,648.52
  5. Step 5: Solve for x
    x = 31,041,247,681,648.52/6,409,722.96
  6. Step 6: Final answer
    x = 4,842,837.65

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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.