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Finding the Fourth Proportional to 417,817,709.20, 626,726,563.80 and 360,422,081.20

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Solution

The fourth proportional to 417,817,709.20, 626,726,563.80 and 360,422,081.20 is: 540,633,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,817,709.20 : 626,726,563.80 = 360,422,081.20 : x
  2. Step 2: Convert to fraction form
    417,817,709.20/626,726,563.80 = 360,422,081.20/x
  3. Step 3: Cross multiply
    417,817,709.20x = 626,726,563.80 × 360,422,081.20
  4. Step 4: Simplify right side
    417,817,709.20x = 225,886,092,468,120,544
  5. Step 5: Solve for x
    x = 225,886,092,468,120,544/417,817,709.20
  6. Step 6: Final answer
    x = 540,633,121.80

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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.