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Finding the Fourth Proportional to 431,097,661.60, 646,864,911.60 and 188,762,941.60

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Solution

The fourth proportional to 431,097,661.60, 646,864,911.60 and 188,762,941.60 is: 283,240,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,097,661.60 : 646,864,911.60 = 188,762,941.60 : x
  2. Step 2: Convert to fraction form
    431,097,661.60/646,864,911.60 = 188,762,941.60/x
  3. Step 3: Cross multiply
    431,097,661.60x = 646,864,911.60 × 188,762,941.60
  4. Step 4: Simplify right side
    431,097,661.60x = 122,104,123,531,439,968
  5. Step 5: Solve for x
    x = 122,104,123,531,439,968/431,097,661.60
  6. Step 6: Final answer
    x = 283,240,050.71

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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.