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Finding the Fourth Proportional to 285,118.65, 393,458.69 and 164,259.63

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Solution

The fourth proportional to 285,118.65, 393,458.69 and 164,259.63 is: 226,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,118.65 : 393,458.69 = 164,259.63 : x
  2. Step 2: Convert to fraction form
    285,118.65/393,458.69 = 164,259.63/x
  3. Step 3: Cross multiply
    285,118.65x = 393,458.69 × 164,259.63
  4. Step 4: Simplify right side
    285,118.65x = 64,629,378,018.39
  5. Step 5: Solve for x
    x = 64,629,378,018.39/285,118.65
  6. Step 6: Final answer
    x = 226,675.38

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Double scale
Find fourth proportional to 285,119.65, 393,460.06 and 164,260.63
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1.5x scale

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.