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Finding the Fourth Proportional to 456,815.71, 685,269.20 and 157,256.65

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Solution

The fourth proportional to 456,815.71, 685,269.20 and 157,256.65 is: 235,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,815.71 : 685,269.20 = 157,256.65 : x
  2. Step 2: Convert to fraction form
    456,815.71/685,269.20 = 157,256.65/x
  3. Step 3: Cross multiply
    456,815.71x = 685,269.20 × 157,256.65
  4. Step 4: Simplify right side
    456,815.71x = 107,763,138,740.18
  5. Step 5: Solve for x
    x = 107,763,138,740.18/456,815.71
  6. Step 6: Final answer
    x = 235,900.68

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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.