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Finding the Fourth Proportional to 243,409.40, 365,114.10 and 138,433.40

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Solution

The fourth proportional to 243,409.40, 365,114.10 and 138,433.40 is: 207,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,409.40 : 365,114.10 = 138,433.40 : x
  2. Step 2: Convert to fraction form
    243,409.40/365,114.10 = 138,433.40/x
  3. Step 3: Cross multiply
    243,409.40x = 365,114.10 × 138,433.40
  4. Step 4: Simplify right side
    243,409.40x = 50,543,986,250.94
  5. Step 5: Solve for x
    x = 50,543,986,250.94/243,409.40
  6. Step 6: Final answer
    x = 207,650.10

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1.5x scale

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.