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Finding the Fourth Proportional to 296,781.40, 445,172.10 and 97,108.30

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Solution

The fourth proportional to 296,781.40, 445,172.10 and 97,108.30 is: 145,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,781.40 : 445,172.10 = 97,108.30 : x
  2. Step 2: Convert to fraction form
    296,781.40/445,172.10 = 97,108.30/x
  3. Step 3: Cross multiply
    296,781.40x = 445,172.10 × 97,108.30
  4. Step 4: Simplify right side
    296,781.40x = 43,229,905,838.43
  5. Step 5: Solve for x
    x = 43,229,905,838.43/296,781.40
  6. Step 6: Final answer
    x = 145,662.45

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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.