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Finding the Fourth Proportional to 407,245,762.80, 610,868,644.20 and 148,469,425.20

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Solution

The fourth proportional to 407,245,762.80, 610,868,644.20 and 148,469,425.20 is: 222,704,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,245,762.80 : 610,868,644.20 = 148,469,425.20 : x
  2. Step 2: Convert to fraction form
    407,245,762.80/610,868,644.20 = 148,469,425.20/x
  3. Step 3: Cross multiply
    407,245,762.80x = 610,868,644.20 × 148,469,425.20
  4. Step 4: Simplify right side
    407,245,762.80x = 90,695,316,477,077,312
  5. Step 5: Solve for x
    x = 90,695,316,477,077,312/407,245,762.80
  6. Step 6: Final answer
    x = 222,704,137.80

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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.