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Finding the Fourth Proportional to 456,693.40, 685,040.10 and 207,375.40

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Solution

The fourth proportional to 456,693.40, 685,040.10 and 207,375.40 is: 311,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,693.40 : 685,040.10 = 207,375.40 : x
  2. Step 2: Convert to fraction form
    456,693.40/685,040.10 = 207,375.40/x
  3. Step 3: Cross multiply
    456,693.40x = 685,040.10 × 207,375.40
  4. Step 4: Simplify right side
    456,693.40x = 142,060,464,753.54
  5. Step 5: Solve for x
    x = 142,060,464,753.54/456,693.40
  6. Step 6: Final answer
    x = 311,063.10

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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.