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Finding the Fourth Proportional to 289,609,505.70, 434,414,258.55 and 265,800,948.90

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Solution

The fourth proportional to 289,609,505.70, 434,414,258.55 and 265,800,948.90 is: 398,701,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,609,505.70 : 434,414,258.55 = 265,800,948.90 : x
  2. Step 2: Convert to fraction form
    289,609,505.70/434,414,258.55 = 265,800,948.90/x
  3. Step 3: Cross multiply
    289,609,505.70x = 434,414,258.55 × 265,800,948.90
  4. Step 4: Simplify right side
    289,609,505.70x = 115,467,722,138,279,936
  5. Step 5: Solve for x
    x = 115,467,722,138,279,936/289,609,505.70
  6. Step 6: Final answer
    x = 398,701,423.35

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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.