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Finding the Fourth Proportional to 1,301,193.06, 1,795,646.16 and 728,233.20

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Solution

The fourth proportional to 1,301,193.06, 1,795,646.16 and 728,233.20 is: 1,004,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,193.06 : 1,795,646.16 = 728,233.20 : x
  2. Step 2: Convert to fraction form
    1,301,193.06/1,795,646.16 = 728,233.20/x
  3. Step 3: Cross multiply
    1,301,193.06x = 1,795,646.16 × 728,233.20
  4. Step 4: Simplify right side
    1,301,193.06x = 1,307,649,149,164.51
  5. Step 5: Solve for x
    x = 1,307,649,149,164.51/1,301,193.06
  6. Step 6: Final answer
    x = 1,004,961.67

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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.