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Finding the Fourth Proportional to 398,604,859.20, 597,907,288.80 and 295,292,728.80

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Solution

The fourth proportional to 398,604,859.20, 597,907,288.80 and 295,292,728.80 is: 442,939,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604,859.20 : 597,907,288.80 = 295,292,728.80 : x
  2. Step 2: Convert to fraction form
    398,604,859.20/597,907,288.80 = 295,292,728.80/x
  3. Step 3: Cross multiply
    398,604,859.20x = 597,907,288.80 × 295,292,728.80
  4. Step 4: Simplify right side
    398,604,859.20x = 176,557,674,879,161,664
  5. Step 5: Solve for x
    x = 176,557,674,879,161,664/398,604,859.20
  6. Step 6: Final answer
    x = 442,939,093.20

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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.