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Finding the Fourth Proportional to 650,387.60, 975,727.20 and 201,129.20

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Solution

The fourth proportional to 650,387.60, 975,727.20 and 201,129.20 is: 301,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,387.60 : 975,727.20 = 201,129.20 : x
  2. Step 2: Convert to fraction form
    650,387.60/975,727.20 = 201,129.20/x
  3. Step 3: Cross multiply
    650,387.60x = 975,727.20 × 201,129.20
  4. Step 4: Simplify right side
    650,387.60x = 196,247,231,154.24
  5. Step 5: Solve for x
    x = 196,247,231,154.24/650,387.60
  6. Step 6: Final answer
    x = 301,738.89

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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.