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Finding the Fourth Proportional to 280,615,339.20, 420,923,008.80 and 177,303,208.80

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Solution

The fourth proportional to 280,615,339.20, 420,923,008.80 and 177,303,208.80 is: 265,954,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,615,339.20 : 420,923,008.80 = 177,303,208.80 : x
  2. Step 2: Convert to fraction form
    280,615,339.20/420,923,008.80 = 177,303,208.80/x
  3. Step 3: Cross multiply
    280,615,339.20x = 420,923,008.80 × 177,303,208.80
  4. Step 4: Simplify right side
    280,615,339.20x = 74,631,000,117,990,640
  5. Step 5: Solve for x
    x = 74,631,000,117,990,640/280,615,339.20
  6. Step 6: Final answer
    x = 265,954,813.20

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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.