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Finding the Fourth Proportional to 229,703.80, 317,145.36 and 205,428.64

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Solution

The fourth proportional to 229,703.80, 317,145.36 and 205,428.64 is: 283,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,703.80 : 317,145.36 = 205,428.64 : x
  2. Step 2: Convert to fraction form
    229,703.80/317,145.36 = 205,428.64/x
  3. Step 3: Cross multiply
    229,703.80x = 317,145.36 × 205,428.64
  4. Step 4: Simplify right side
    229,703.80x = 65,150,739,987.11
  5. Step 5: Solve for x
    x = 65,150,739,987.11/229,703.80
  6. Step 6: Final answer
    x = 283,629.35

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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.