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Finding the Fourth Proportional to 640,738.65, 961,007.09 and 214,271.19

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Solution

The fourth proportional to 640,738.65, 961,007.09 and 214,271.19 is: 321,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,738.65 : 961,007.09 = 214,271.19 : x
  2. Step 2: Convert to fraction form
    640,738.65/961,007.09 = 214,271.19/x
  3. Step 3: Cross multiply
    640,738.65x = 961,007.09 × 214,271.19
  4. Step 4: Simplify right side
    640,738.65x = 205,916,131,701.38
  5. Step 5: Solve for x
    x = 205,916,131,701.38/640,738.65
  6. Step 6: Final answer
    x = 321,373.05

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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.