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Finding the Fourth Proportional to 673,607.40, 929,680.38 and 419,040.60

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Solution

The fourth proportional to 673,607.40, 929,680.38 and 419,040.60 is: 578,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,607.40 : 929,680.38 = 419,040.60 : x
  2. Step 2: Convert to fraction form
    673,607.40/929,680.38 = 419,040.60/x
  3. Step 3: Cross multiply
    673,607.40x = 929,680.38 × 419,040.60
  4. Step 4: Simplify right side
    673,607.40x = 389,573,824,243.43
  5. Step 5: Solve for x
    x = 389,573,824,243.43/673,607.40
  6. Step 6: Final answer
    x = 578,339.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.