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Finding the Fourth Proportional to 650,712.20, 975,978.30 and 201,741.80

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Solution

The fourth proportional to 650,712.20, 975,978.30 and 201,741.80 is: 302,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,712.20 : 975,978.30 = 201,741.80 : x
  2. Step 2: Convert to fraction form
    650,712.20/975,978.30 = 201,741.80/x
  3. Step 3: Cross multiply
    650,712.20x = 975,978.30 × 201,741.80
  4. Step 4: Simplify right side
    650,712.20x = 196,895,619,002.94
  5. Step 5: Solve for x
    x = 196,895,619,002.94/650,712.20
  6. Step 6: Final answer
    x = 302,584.80

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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.