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Finding the Fourth Proportional to 443,430.10, 665,145.15 and 177,231.70

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Solution

The fourth proportional to 443,430.10, 665,145.15 and 177,231.70 is: 265,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,430.10 : 665,145.15 = 177,231.70 : x
  2. Step 2: Convert to fraction form
    443,430.10/665,145.15 = 177,231.70/x
  3. Step 3: Cross multiply
    443,430.10x = 665,145.15 × 177,231.70
  4. Step 4: Simplify right side
    443,430.10x = 117,884,805,681.26
  5. Step 5: Solve for x
    x = 117,884,805,681.26/443,430.10
  6. Step 6: Final answer
    x = 265,847.55

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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.