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Finding the Fourth Proportional to 456,817.71, 685,272.21 and 157,258.65

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Solution

The fourth proportional to 456,817.71, 685,272.21 and 157,258.65 is: 235,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,817.71 : 685,272.21 = 157,258.65 : x
  2. Step 2: Convert to fraction form
    456,817.71/685,272.21 = 157,258.65/x
  3. Step 3: Cross multiply
    456,817.71x = 685,272.21 × 157,258.65
  4. Step 4: Simplify right side
    456,817.71x = 107,764,982,627.12
  5. Step 5: Solve for x
    x = 107,764,982,627.12/456,817.71
  6. Step 6: Final answer
    x = 235,903.69

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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.