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Finding the Fourth Proportional to 470,491.88, 649,284.69 and 255,635.54

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Solution

The fourth proportional to 470,491.88, 649,284.69 and 255,635.54 is: 352,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,491.88 : 649,284.69 = 255,635.54 : x
  2. Step 2: Convert to fraction form
    470,491.88/649,284.69 = 255,635.54/x
  3. Step 3: Cross multiply
    470,491.88x = 649,284.69 × 255,635.54
  4. Step 4: Simplify right side
    470,491.88x = 165,980,239,095.46
  5. Step 5: Solve for x
    x = 165,980,239,095.46/470,491.88
  6. Step 6: Final answer
    x = 352,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.