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Finding the Fourth Proportional to 413,815.60, 620,838.60 and 203,460.40

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Solution

The fourth proportional to 413,815.60, 620,838.60 and 203,460.40 is: 305,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,815.60 : 620,838.60 = 203,460.40 : x
  2. Step 2: Convert to fraction form
    413,815.60/620,838.60 = 203,460.40/x
  3. Step 3: Cross multiply
    413,815.60x = 620,838.60 × 203,460.40
  4. Step 4: Simplify right side
    413,815.60x = 126,316,069,891.44
  5. Step 5: Solve for x
    x = 126,316,069,891.44/413,815.60
  6. Step 6: Final answer
    x = 305,247.24

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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.