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Finding the Fourth Proportional to 443,602.06, 665,612.88 and 230,256.54

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Solution

The fourth proportional to 443,602.06, 665,612.88 and 230,256.54 is: 345,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,602.06 : 665,612.88 = 230,256.54 : x
  2. Step 2: Convert to fraction form
    443,602.06/665,612.88 = 230,256.54/x
  3. Step 3: Cross multiply
    443,602.06x = 665,612.88 × 230,256.54
  4. Step 4: Simplify right side
    443,602.06x = 153,261,718,728.24
  5. Step 5: Solve for x
    x = 153,261,718,728.24/443,602.06
  6. Step 6: Final answer
    x = 345,493.70

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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.