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Finding the Fourth Proportional to 197,520, 296,283.51 and 64,399.74

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Solution

The fourth proportional to 197,520, 296,283.51 and 64,399.74 is: 96,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,520 : 296,283.51 = 64,399.74 : x
  2. Step 2: Convert to fraction form
    197,520/296,283.51 = 64,399.74/x
  3. Step 3: Cross multiply
    197,520x = 296,283.51 × 64,399.74
  4. Step 4: Simplify right side
    197,520x = 19,080,581,010.29
  5. Step 5: Solve for x
    x = 19,080,581,010.29/197,520
  6. Step 6: Final answer
    x = 96,600.75

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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.