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Finding the Fourth Proportional to 537,860, 742,449.86 and 422,838.56

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Solution

The fourth proportional to 537,860, 742,449.86 and 422,838.56 is: 583,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,860 : 742,449.86 = 422,838.56 : x
  2. Step 2: Convert to fraction form
    537,860/742,449.86 = 422,838.56/x
  3. Step 3: Cross multiply
    537,860x = 742,449.86 × 422,838.56
  4. Step 4: Simplify right side
    537,860x = 313,936,429,674.60
  5. Step 5: Solve for x
    x = 313,936,429,674.60/537,860
  6. Step 6: Final answer
    x = 583,676.85

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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.