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Finding the Fourth Proportional to 448,756.81, 619,228.80 and 274,414.64

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Solution

The fourth proportional to 448,756.81, 619,228.80 and 274,414.64 is: 378,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,756.81 : 619,228.80 = 274,414.64 : x
  2. Step 2: Convert to fraction form
    448,756.81/619,228.80 = 274,414.64/x
  3. Step 3: Cross multiply
    448,756.81x = 619,228.80 × 274,414.64
  4. Step 4: Simplify right side
    448,756.81x = 169,925,445,133.49
  5. Step 5: Solve for x
    x = 169,925,445,133.49/448,756.81
  6. Step 6: Final answer
    x = 378,658.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.