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Finding the Fourth Proportional to 497,441.61, 686,274.53 and 306,122.85

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Solution

The fourth proportional to 497,441.61, 686,274.53 and 306,122.85 is: 422,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,441.61 : 686,274.53 = 306,122.85 : x
  2. Step 2: Convert to fraction form
    497,441.61/686,274.53 = 306,122.85/x
  3. Step 3: Cross multiply
    497,441.61x = 686,274.53 × 306,122.85
  4. Step 4: Simplify right side
    497,441.61x = 210,084,313,475.40
  5. Step 5: Solve for x
    x = 210,084,313,475.40/497,441.61
  6. Step 6: Final answer
    x = 422,329.59

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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.