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Finding the Fourth Proportional to 457,260.80, 685,912.80 and 141,938.60

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Solution

The fourth proportional to 457,260.80, 685,912.80 and 141,938.60 is: 212,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,260.80 : 685,912.80 = 141,938.60 : x
  2. Step 2: Convert to fraction form
    457,260.80/685,912.80 = 141,938.60/x
  3. Step 3: Cross multiply
    457,260.80x = 685,912.80 × 141,938.60
  4. Step 4: Simplify right side
    457,260.80x = 97,357,502,554.08
  5. Step 5: Solve for x
    x = 97,357,502,554.08/457,260.80
  6. Step 6: Final answer
    x = 212,914.60

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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.