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Finding the Fourth Proportional to 407,253,406.80, 610,880,110.20 and 148,477,069.20

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Solution

The fourth proportional to 407,253,406.80, 610,880,110.20 and 148,477,069.20 is: 222,715,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,253,406.80 : 610,880,110.20 = 148,477,069.20 : x
  2. Step 2: Convert to fraction form
    407,253,406.80/610,880,110.20 = 148,477,069.20/x
  3. Step 3: Cross multiply
    407,253,406.80x = 610,880,110.20 × 148,477,069.20
  4. Step 4: Simplify right side
    407,253,406.80x = 90,701,688,395,069,024
  5. Step 5: Solve for x
    x = 90,701,688,395,069,024/407,253,406.80
  6. Step 6: Final answer
    x = 222,715,603.80

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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.