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Finding the Fourth Proportional to 442,886.70, 664,416.45 and 190,166.70

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Solution

The fourth proportional to 442,886.70, 664,416.45 and 190,166.70 is: 285,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,886.70 : 664,416.45 = 190,166.70 : x
  2. Step 2: Convert to fraction form
    442,886.70/664,416.45 = 190,166.70/x
  3. Step 3: Cross multiply
    442,886.70x = 664,416.45 × 190,166.70
  4. Step 4: Simplify right side
    442,886.70x = 126,349,883,722.22
  5. Step 5: Solve for x
    x = 126,349,883,722.22/442,886.70
  6. Step 6: Final answer
    x = 285,287.15

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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.