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Finding the Fourth Proportional to 405,993,642.80, 608,990,464.20 and 99,281,764.40

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Solution

The fourth proportional to 405,993,642.80, 608,990,464.20 and 99,281,764.40 is: 148,922,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,993,642.80 : 608,990,464.20 = 99,281,764.40 : x
  2. Step 2: Convert to fraction form
    405,993,642.80/608,990,464.20 = 99,281,764.40/x
  3. Step 3: Cross multiply
    405,993,642.80x = 608,990,464.20 × 99,281,764.40
  4. Step 4: Simplify right side
    405,993,642.80x = 60,461,647,788,551,040
  5. Step 5: Solve for x
    x = 60,461,647,788,551,040/405,993,642.80
  6. Step 6: Final answer
    x = 148,922,646.60

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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.