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Finding the Fourth Proportional to 357,422.47, 492,826.30 and 266,620.80

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Solution

The fourth proportional to 357,422.47, 492,826.30 and 266,620.80 is: 367,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,422.47 : 492,826.30 = 266,620.80 : x
  2. Step 2: Convert to fraction form
    357,422.47/492,826.30 = 266,620.80/x
  3. Step 3: Cross multiply
    357,422.47x = 492,826.30 × 266,620.80
  4. Step 4: Simplify right side
    357,422.47x = 131,397,742,367.04
  5. Step 5: Solve for x
    x = 131,397,742,367.04/357,422.47
  6. Step 6: Final answer
    x = 367,625.86

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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.