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Finding the Fourth Proportional to 290,408,078.30, 435,612,117.45 and 290,408,078.30

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Solution

The fourth proportional to 290,408,078.30, 435,612,117.45 and 290,408,078.30 is: 435,612,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,408,078.30 : 435,612,117.45 = 290,408,078.30 : x
  2. Step 2: Convert to fraction form
    290,408,078.30/435,612,117.45 = 290,408,078.30/x
  3. Step 3: Cross multiply
    290,408,078.30x = 435,612,117.45 × 290,408,078.30
  4. Step 4: Simplify right side
    290,408,078.30x = 126,505,277,912,848,400
  5. Step 5: Solve for x
    x = 126,505,277,912,848,400/290,408,078.30
  6. Step 6: Final answer
    x = 435,612,117.45

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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.