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Finding the Fourth Proportional to 289,556,853.90, 434,335,280.85 and 289,556,853.90

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Solution

The fourth proportional to 289,556,853.90, 434,335,280.85 and 289,556,853.90 is: 434,335,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,556,853.90 : 434,335,280.85 = 289,556,853.90 : x
  2. Step 2: Convert to fraction form
    289,556,853.90/434,335,280.85 = 289,556,853.90/x
  3. Step 3: Cross multiply
    289,556,853.90x = 434,335,280.85 × 289,556,853.90
  4. Step 4: Simplify right side
    289,556,853.90x = 125,764,757,460,698,912
  5. Step 5: Solve for x
    x = 125,764,757,460,698,912/289,556,853.90
  6. Step 6: Final answer
    x = 434,335,280.85

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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.