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Finding the Fourth Proportional to 413,820.60, 620,846.10 and 203,465.40

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Solution

The fourth proportional to 413,820.60, 620,846.10 and 203,465.40 is: 305,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,820.60 : 620,846.10 = 203,465.40 : x
  2. Step 2: Convert to fraction form
    413,820.60/620,846.10 = 203,465.40/x
  3. Step 3: Cross multiply
    413,820.60x = 620,846.10 × 203,465.40
  4. Step 4: Simplify right side
    413,820.60x = 126,320,700,074.94
  5. Step 5: Solve for x
    x = 126,320,700,074.94/413,820.60
  6. Step 6: Final answer
    x = 305,254.74

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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.