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Finding the Fourth Proportional to 296,642.80, 445,012.72 and 96,905.20

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Solution

The fourth proportional to 296,642.80, 445,012.72 and 96,905.20 is: 145,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.80 : 445,012.72 = 96,905.20 : x
  2. Step 2: Convert to fraction form
    296,642.80/445,012.72 = 96,905.20/x
  3. Step 3: Cross multiply
    296,642.80x = 445,012.72 × 96,905.20
  4. Step 4: Simplify right side
    296,642.80x = 43,124,046,634.14
  5. Step 5: Solve for x
    x = 43,124,046,634.14/296,642.80
  6. Step 6: Final answer
    x = 145,373.65

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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.