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Finding the Fourth Proportional to 424,097,911.80, 636,146,867.70 and 343,476,343.80

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Solution

The fourth proportional to 424,097,911.80, 636,146,867.70 and 343,476,343.80 is: 515,214,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,097,911.80 : 636,146,867.70 = 343,476,343.80 : x
  2. Step 2: Convert to fraction form
    424,097,911.80/636,146,867.70 = 343,476,343.80/x
  3. Step 3: Cross multiply
    424,097,911.80x = 636,146,867.70 × 343,476,343.80
  4. Step 4: Simplify right side
    424,097,911.80x = 218,501,400,237,418,336
  5. Step 5: Solve for x
    x = 218,501,400,237,418,336/424,097,911.80
  6. Step 6: Final answer
    x = 515,214,515.70

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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.