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Finding the Fourth Proportional to 343,399.60, 514,734.90 and 165,790.90

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Solution

The fourth proportional to 343,399.60, 514,734.90 and 165,790.90 is: 248,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,399.60 : 514,734.90 = 165,790.90 : x
  2. Step 2: Convert to fraction form
    343,399.60/514,734.90 = 165,790.90/x
  3. Step 3: Cross multiply
    343,399.60x = 514,734.90 × 165,790.90
  4. Step 4: Simplify right side
    343,399.60x = 85,338,362,332.41
  5. Step 5: Solve for x
    x = 85,338,362,332.41/343,399.60
  6. Step 6: Final answer
    x = 248,510.37

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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.