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Finding the Fourth Proportional to 403,813,819.20, 605,720,728.80 and 289,152,033.60

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Solution

The fourth proportional to 403,813,819.20, 605,720,728.80 and 289,152,033.60 is: 433,728,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,813,819.20 : 605,720,728.80 = 289,152,033.60 : x
  2. Step 2: Convert to fraction form
    403,813,819.20/605,720,728.80 = 289,152,033.60/x
  3. Step 3: Cross multiply
    403,813,819.20x = 605,720,728.80 × 289,152,033.60
  4. Step 4: Simplify right side
    403,813,819.20x = 175,145,380,526,194,080
  5. Step 5: Solve for x
    x = 175,145,380,526,194,080/403,813,819.20
  6. Step 6: Final answer
    x = 433,728,050.40

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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.