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Finding the Fourth Proportional to 497,054.70, 685,954.90 and 282,214.75

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Solution

The fourth proportional to 497,054.70, 685,954.90 and 282,214.75 is: 389,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,054.70 : 685,954.90 = 282,214.75 : x
  2. Step 2: Convert to fraction form
    497,054.70/685,954.90 = 282,214.75/x
  3. Step 3: Cross multiply
    497,054.70x = 685,954.90 × 282,214.75
  4. Step 4: Simplify right side
    497,054.70x = 193,586,590,614.78
  5. Step 5: Solve for x
    x = 193,586,590,614.78/497,054.70
  6. Step 6: Final answer
    x = 389,467.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.