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Finding the Fourth Proportional to 437,668.40, 656,502.60 and 216,023.60

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Solution

The fourth proportional to 437,668.40, 656,502.60 and 216,023.60 is: 324,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,668.40 : 656,502.60 = 216,023.60 : x
  2. Step 2: Convert to fraction form
    437,668.40/656,502.60 = 216,023.60/x
  3. Step 3: Cross multiply
    437,668.40x = 656,502.60 × 216,023.60
  4. Step 4: Simplify right side
    437,668.40x = 141,820,055,061.36
  5. Step 5: Solve for x
    x = 141,820,055,061.36/437,668.40
  6. Step 6: Final answer
    x = 324,035.40

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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.