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Finding the Fourth Proportional to 456,688.20, 685,226.70 and 288,337.80

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Solution

The fourth proportional to 456,688.20, 685,226.70 and 288,337.80 is: 432,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,688.20 : 685,226.70 = 288,337.80 : x
  2. Step 2: Convert to fraction form
    456,688.20/685,226.70 = 288,337.80/x
  3. Step 3: Cross multiply
    456,688.20x = 685,226.70 × 288,337.80
  4. Step 4: Simplify right side
    456,688.20x = 197,576,759,179.26
  5. Step 5: Solve for x
    x = 197,576,759,179.26/456,688.20
  6. Step 6: Final answer
    x = 432,629.44

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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.