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Finding the Fourth Proportional to 391,165,400, 539,825,048.16 and 217,325,144

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Solution

The fourth proportional to 391,165,400, 539,825,048.16 and 217,325,144 is: 299,918,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,165,400 : 539,825,048.16 = 217,325,144 : x
  2. Step 2: Convert to fraction form
    391,165,400/539,825,048.16 = 217,325,144/x
  3. Step 3: Cross multiply
    391,165,400x = 539,825,048.16 × 217,325,144
  4. Step 4: Simplify right side
    391,165,400x = 117,317,556,326,178,928
  5. Step 5: Solve for x
    x = 117,317,556,326,178,928/391,165,400
  6. Step 6: Final answer
    x = 299,918,030.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.