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Finding the Fourth Proportional to 457,325.33, 685,988.40 and 190,940.63

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Solution

The fourth proportional to 457,325.33, 685,988.40 and 190,940.63 is: 286,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,325.33 : 685,988.40 = 190,940.63 : x
  2. Step 2: Convert to fraction form
    457,325.33/685,988.40 = 190,940.63/x
  3. Step 3: Cross multiply
    457,325.33x = 685,988.40 × 190,940.63
  4. Step 4: Simplify right side
    457,325.33x = 130,983,057,268.69
  5. Step 5: Solve for x
    x = 130,983,057,268.69/457,325.33
  6. Step 6: Final answer
    x = 286,411.11

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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.