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Finding the Fourth Proportional to 455,345.40, 682,434.90 and 349,640.40

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Solution

The fourth proportional to 455,345.40, 682,434.90 and 349,640.40 is: 524,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,345.40 : 682,434.90 = 349,640.40 : x
  2. Step 2: Convert to fraction form
    455,345.40/682,434.90 = 349,640.40/x
  3. Step 3: Cross multiply
    455,345.40x = 682,434.90 × 349,640.40
  4. Step 4: Simplify right side
    455,345.40x = 238,606,811,409.96
  5. Step 5: Solve for x
    x = 238,606,811,409.96/455,345.40
  6. Step 6: Final answer
    x = 524,012.79

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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.