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Finding the Fourth Proportional to 257,002.57, 385,457.41 and 69,970.33

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Solution

The fourth proportional to 257,002.57, 385,457.41 and 69,970.33 is: 104,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,002.57 : 385,457.41 = 69,970.33 : x
  2. Step 2: Convert to fraction form
    257,002.57/385,457.41 = 69,970.33/x
  3. Step 3: Cross multiply
    257,002.57x = 385,457.41 × 69,970.33
  4. Step 4: Simplify right side
    257,002.57x = 26,970,582,178.65
  5. Step 5: Solve for x
    x = 26,970,582,178.65/257,002.57
  6. Step 6: Final answer
    x = 104,942.85

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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.