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Finding the Fourth Proportional to 285,965,794.90, 428,948,692.35 and 285,965,794.90

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Solution

The fourth proportional to 285,965,794.90, 428,948,692.35 and 285,965,794.90 is: 428,948,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,965,794.90 : 428,948,692.35 = 285,965,794.90 : x
  2. Step 2: Convert to fraction form
    285,965,794.90/428,948,692.35 = 285,965,794.90/x
  3. Step 3: Cross multiply
    285,965,794.90x = 428,948,692.35 × 285,965,794.90
  4. Step 4: Simplify right side
    285,965,794.90x = 122,664,653,779,183,296
  5. Step 5: Solve for x
    x = 122,664,653,779,183,296/285,965,794.90
  6. Step 6: Final answer
    x = 428,948,692.35

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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.