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Finding the Fourth Proportional to 443,877.12, 665,677.44 and 148,320

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Solution

The fourth proportional to 443,877.12, 665,677.44 and 148,320 is: 222,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,877.12 : 665,677.44 = 148,320 : x
  2. Step 2: Convert to fraction form
    443,877.12/665,677.44 = 148,320/x
  3. Step 3: Cross multiply
    443,877.12x = 665,677.44 × 148,320
  4. Step 4: Simplify right side
    443,877.12x = 98,733,277,900.80
  5. Step 5: Solve for x
    x = 98,733,277,900.80/443,877.12
  6. Step 6: Final answer
    x = 222,433.81

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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.