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Finding the Fourth Proportional to 559,879,539.80, 839,819,309.70 and 442,978,266.20

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Solution

The fourth proportional to 559,879,539.80, 839,819,309.70 and 442,978,266.20 is: 664,467,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,879,539.80 : 839,819,309.70 = 442,978,266.20 : x
  2. Step 2: Convert to fraction form
    559,879,539.80/839,819,309.70 = 442,978,266.20/x
  3. Step 3: Cross multiply
    559,879,539.80x = 839,819,309.70 × 442,978,266.20
  4. Step 4: Simplify right side
    559,879,539.80x = 372,021,701,732,186,880
  5. Step 5: Solve for x
    x = 372,021,701,732,186,880/559,879,539.80
  6. Step 6: Final answer
    x = 664,467,399.30

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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.