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Finding the Fourth Proportional to 443,103.60, 664,266.60 and 265,681.20

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Solution

The fourth proportional to 443,103.60, 664,266.60 and 265,681.20 is: 398,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,103.60 : 664,266.60 = 265,681.20 : x
  2. Step 2: Convert to fraction form
    443,103.60/664,266.60 = 265,681.20/x
  3. Step 3: Cross multiply
    443,103.60x = 664,266.60 × 265,681.20
  4. Step 4: Simplify right side
    443,103.60x = 176,483,147,407.92
  5. Step 5: Solve for x
    x = 176,483,147,407.92/443,103.60
  6. Step 6: Final answer
    x = 398,288.68

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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.