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Finding the Fourth Proportional to 296,712, 445,138 and 97,031.60

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Solution

The fourth proportional to 296,712, 445,138 and 97,031.60 is: 145,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,712 : 445,138 = 97,031.60 : x
  2. Step 2: Convert to fraction form
    296,712/445,138 = 97,031.60/x
  3. Step 3: Cross multiply
    296,712x = 445,138 × 97,031.60
  4. Step 4: Simplify right side
    296,712x = 43,192,452,360.80
  5. Step 5: Solve for x
    x = 43,192,452,360.80/296,712
  6. Step 6: Final answer
    x = 145,570.29

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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.