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Finding the Fourth Proportional to 451,710.40, 677,128.20 and 404,471.20

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Solution

The fourth proportional to 451,710.40, 677,128.20 and 404,471.20 is: 606,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,710.40 : 677,128.20 = 404,471.20 : x
  2. Step 2: Convert to fraction form
    451,710.40/677,128.20 = 404,471.20/x
  3. Step 3: Cross multiply
    451,710.40x = 677,128.20 × 404,471.20
  4. Step 4: Simplify right side
    451,710.40x = 273,878,855,607.84
  5. Step 5: Solve for x
    x = 273,878,855,607.84/451,710.40
  6. Step 6: Final answer
    x = 606,315.14

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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.