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Finding the Fourth Proportional to 289,930,626, 400,104,329.40 and 159,550,434

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Solution

The fourth proportional to 289,930,626, 400,104,329.40 and 159,550,434 is: 220,179,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930,626 : 400,104,329.40 = 159,550,434 : x
  2. Step 2: Convert to fraction form
    289,930,626/400,104,329.40 = 159,550,434/x
  3. Step 3: Cross multiply
    289,930,626x = 400,104,329.40 × 159,550,434
  4. Step 4: Simplify right side
    289,930,626x = 63,836,819,401,048,952
  5. Step 5: Solve for x
    x = 63,836,819,401,048,952/289,930,626
  6. Step 6: Final answer
    x = 220,179,634.98

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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.