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Finding the Fourth Proportional to 298,936,802.70, 448,027,290.45 and 266,436,233.10

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Solution

The fourth proportional to 298,936,802.70, 448,027,290.45 and 266,436,233.10 is: 399,317,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,936,802.70 : 448,027,290.45 = 266,436,233.10 : x
  2. Step 2: Convert to fraction form
    298,936,802.70/448,027,290.45 = 266,436,233.10/x
  3. Step 3: Cross multiply
    298,936,802.70x = 448,027,290.45 × 266,436,233.10
  4. Step 4: Simplify right side
    298,936,802.70x = 119,370,703,593,497,600
  5. Step 5: Solve for x
    x = 119,370,703,593,497,600/298,936,802.70
  6. Step 6: Final answer
    x = 399,317,523.02

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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.