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Finding the Fourth Proportional to 457,215.21, 685,371 and 216,907.23

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Solution

The fourth proportional to 457,215.21, 685,371 and 216,907.23 is: 325,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,215.21 : 685,371 = 216,907.23 : x
  2. Step 2: Convert to fraction form
    457,215.21/685,371 = 216,907.23/x
  3. Step 3: Cross multiply
    457,215.21x = 685,371 × 216,907.23
  4. Step 4: Simplify right side
    457,215.21x = 148,661,925,132.33
  5. Step 5: Solve for x
    x = 148,661,925,132.33/457,215.21
  6. Step 6: Final answer
    x = 325,146.50

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1.5x scale

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.