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Finding the Fourth Proportional to 291,209.09, 401,802.05 and 163,838.21

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Solution

The fourth proportional to 291,209.09, 401,802.05 and 163,838.21 is: 226,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209.09 : 401,802.05 = 163,838.21 : x
  2. Step 2: Convert to fraction form
    291,209.09/401,802.05 = 163,838.21/x
  3. Step 3: Cross multiply
    291,209.09x = 401,802.05 × 163,838.21
  4. Step 4: Simplify right side
    291,209.09x = 65,830,528,646.33
  5. Step 5: Solve for x
    x = 65,830,528,646.33/291,209.09
  6. Step 6: Final answer
    x = 226,059.32

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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.