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Finding the Fourth Proportional to 640,474.94, 960,762.02 and 214,012.25

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Solution

The fourth proportional to 640,474.94, 960,762.02 and 214,012.25 is: 321,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,474.94 : 960,762.02 = 214,012.25 : x
  2. Step 2: Convert to fraction form
    640,474.94/960,762.02 = 214,012.25/x
  3. Step 3: Cross multiply
    640,474.94x = 960,762.02 × 214,012.25
  4. Step 4: Simplify right side
    640,474.94x = 205,614,835,740.87
  5. Step 5: Solve for x
    x = 205,614,835,740.87/640,474.94
  6. Step 6: Final answer
    x = 321,034.94

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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.