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Finding the Fourth Proportional to 380,859.69, 571,369.64 and 144,197.13

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Solution

The fourth proportional to 380,859.69, 571,369.64 and 144,197.13 is: 216,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,859.69 : 571,369.64 = 144,197.13 : x
  2. Step 2: Convert to fraction form
    380,859.69/571,369.64 = 144,197.13/x
  3. Step 3: Cross multiply
    380,859.69x = 571,369.64 × 144,197.13
  4. Step 4: Simplify right side
    380,859.69x = 82,389,861,536.15
  5. Step 5: Solve for x
    x = 82,389,861,536.15/380,859.69
  6. Step 6: Final answer
    x = 216,326.02

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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.