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Finding the Fourth Proportional to 197,985,813.60, 296,978,720.40 and 146,967,477.60

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Solution

The fourth proportional to 197,985,813.60, 296,978,720.40 and 146,967,477.60 is: 220,451,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,985,813.60 : 296,978,720.40 = 146,967,477.60 : x
  2. Step 2: Convert to fraction form
    197,985,813.60/296,978,720.40 = 146,967,477.60/x
  3. Step 3: Cross multiply
    197,985,813.60x = 296,978,720.40 × 146,967,477.60
  4. Step 4: Simplify right side
    197,985,813.60x = 43,646,213,438,063,656
  5. Step 5: Solve for x
    x = 43,646,213,438,063,656/197,985,813.60
  6. Step 6: Final answer
    x = 220,451,216.40

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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.