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Finding the Fourth Proportional to 197,985,851.10, 296,978,776.65 and 146,967,515.10

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Solution

The fourth proportional to 197,985,851.10, 296,978,776.65 and 146,967,515.10 is: 220,451,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,985,851.10 : 296,978,776.65 = 146,967,515.10 : x
  2. Step 2: Convert to fraction form
    197,985,851.10/296,978,776.65 = 146,967,515.10/x
  3. Step 3: Cross multiply
    197,985,851.10x = 296,978,776.65 × 146,967,515.10
  4. Step 4: Simplify right side
    197,985,851.10x = 43,646,232,841,688,400
  5. Step 5: Solve for x
    x = 43,646,232,841,688,400/197,985,851.10
  6. Step 6: Final answer
    x = 220,451,272.65

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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.