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Finding the Fourth Proportional to 851,883.40, 1,277,978.10 and 290,786.68

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Solution

The fourth proportional to 851,883.40, 1,277,978.10 and 290,786.68 is: 436,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,883.40 : 1,277,978.10 = 290,786.68 : x
  2. Step 2: Convert to fraction form
    851,883.40/1,277,978.10 = 290,786.68/x
  3. Step 3: Cross multiply
    851,883.40x = 1,277,978.10 × 290,786.68
  4. Step 4: Simplify right side
    851,883.40x = 371,619,008,811.71
  5. Step 5: Solve for x
    x = 371,619,008,811.71/851,883.40
  6. Step 6: Final answer
    x = 436,232.25

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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.