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Finding the Fourth Proportional to 559,940.10, 839,254.05 and 419,534.70

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Solution

The fourth proportional to 559,940.10, 839,254.05 and 419,534.70 is: 628,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,940.10 : 839,254.05 = 419,534.70 : x
  2. Step 2: Convert to fraction form
    559,940.10/839,254.05 = 419,534.70/x
  3. Step 3: Cross multiply
    559,940.10x = 839,254.05 × 419,534.70
  4. Step 4: Simplify right side
    559,940.10x = 352,096,196,090.54
  5. Step 5: Solve for x
    x = 352,096,196,090.54/559,940.10
  6. Step 6: Final answer
    x = 628,810.47

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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.