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Finding the Fourth Proportional to 426,355.76, 638,923.44 and 313,148

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Solution

The fourth proportional to 426,355.76, 638,923.44 and 313,148 is: 469,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,355.76 : 638,923.44 = 313,148 : x
  2. Step 2: Convert to fraction form
    426,355.76/638,923.44 = 313,148/x
  3. Step 3: Cross multiply
    426,355.76x = 638,923.44 × 313,148
  4. Step 4: Simplify right side
    426,355.76x = 200,077,597,389.12
  5. Step 5: Solve for x
    x = 200,077,597,389.12/426,355.76
  6. Step 6: Final answer
    x = 469,273.82

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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.