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Finding the Fourth Proportional to 579,908,998.62, 800,443,052.54 and 378,996,097.01

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Solution

The fourth proportional to 579,908,998.62, 800,443,052.54 and 378,996,097.01 is: 523,124,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,908,998.62 : 800,443,052.54 = 378,996,097.01 : x
  2. Step 2: Convert to fraction form
    579,908,998.62/800,443,052.54 = 378,996,097.01/x
  3. Step 3: Cross multiply
    579,908,998.62x = 800,443,052.54 × 378,996,097.01
  4. Step 4: Simplify right side
    579,908,998.62x = 303,364,792,790,407,296
  5. Step 5: Solve for x
    x = 303,364,792,790,407,296/579,908,998.62
  6. Step 6: Final answer
    x = 523,124,823.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.