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Finding the Fourth Proportional to 296,986.88, 445,435.04 and 97,328

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Solution

The fourth proportional to 296,986.88, 445,435.04 and 97,328 is: 145,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,986.88 : 445,435.04 = 97,328 : x
  2. Step 2: Convert to fraction form
    296,986.88/445,435.04 = 97,328/x
  3. Step 3: Cross multiply
    296,986.88x = 445,435.04 × 97,328
  4. Step 4: Simplify right side
    296,986.88x = 43,353,301,573.12
  5. Step 5: Solve for x
    x = 43,353,301,573.12/296,986.88
  6. Step 6: Final answer
    x = 145,977.16

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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.