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Finding the Fourth Proportional to 333,614.40, 500,421.60 and 215,419.20

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Solution

The fourth proportional to 333,614.40, 500,421.60 and 215,419.20 is: 323,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,614.40 : 500,421.60 = 215,419.20 : x
  2. Step 2: Convert to fraction form
    333,614.40/500,421.60 = 215,419.20/x
  3. Step 3: Cross multiply
    333,614.40x = 500,421.60 × 215,419.20
  4. Step 4: Simplify right side
    333,614.40x = 107,800,420,734.72
  5. Step 5: Solve for x
    x = 107,800,420,734.72/333,614.40
  6. Step 6: Final answer
    x = 323,128.80

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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.