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Finding the Fourth Proportional to 209,411.00, 314,297.87 and 109,641

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Solution

The fourth proportional to 209,411.00, 314,297.87 and 109,641 is: 164,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.00 : 314,297.87 = 109,641 : x
  2. Step 2: Convert to fraction form
    209,411.00/314,297.87 = 109,641/x
  3. Step 3: Cross multiply
    209,411.00x = 314,297.87 × 109,641
  4. Step 4: Simplify right side
    209,411.00x = 34,459,932,216.47
  5. Step 5: Solve for x
    x = 34,459,932,216.47/209,411.00
  6. Step 6: Final answer
    x = 164,556.46

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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.