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Finding the Fourth Proportional to 6,501,578.29, 8,978,209.05 and 4,867,148.14

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Solution

The fourth proportional to 6,501,578.29, 8,978,209.05 and 4,867,148.14 is: 6,721,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501,578.29 : 8,978,209.05 = 4,867,148.14 : x
  2. Step 2: Convert to fraction form
    6,501,578.29/8,978,209.05 = 4,867,148.14/x
  3. Step 3: Cross multiply
    6,501,578.29x = 8,978,209.05 × 4,867,148.14
  4. Step 4: Simplify right side
    6,501,578.29x = 43,698,273,478,238.66
  5. Step 5: Solve for x
    x = 43,698,273,478,238.66/6,501,578.29
  6. Step 6: Final answer
    x = 6,721,179.31

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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.