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Finding the Fourth Proportional to 451,711.40, 677,129.70 and 404,472.20

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Solution

The fourth proportional to 451,711.40, 677,129.70 and 404,472.20 is: 606,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,711.40 : 677,129.70 = 404,472.20 : x
  2. Step 2: Convert to fraction form
    451,711.40/677,129.70 = 404,472.20/x
  3. Step 3: Cross multiply
    451,711.40x = 677,129.70 × 404,472.20
  4. Step 4: Simplify right side
    451,711.40x = 273,880,139,444.34
  5. Step 5: Solve for x
    x = 273,880,139,444.34/451,711.40
  6. Step 6: Final answer
    x = 606,316.64

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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.