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Finding the Fourth Proportional to 407,243.70, 611,040.51 and 289,670.58

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Solution

The fourth proportional to 407,243.70, 611,040.51 and 289,670.58 is: 434,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,243.70 : 611,040.51 = 289,670.58 : x
  2. Step 2: Convert to fraction form
    407,243.70/611,040.51 = 289,670.58/x
  3. Step 3: Cross multiply
    407,243.70x = 611,040.51 × 289,670.58
  4. Step 4: Simplify right side
    407,243.70x = 177,000,458,935.20
  5. Step 5: Solve for x
    x = 177,000,458,935.20/407,243.70
  6. Step 6: Final answer
    x = 434,630.32

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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.