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Finding the Fourth Proportional to 301,875.70, 417,013.68 and 285,932.47

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Solution

The fourth proportional to 301,875.70, 417,013.68 and 285,932.47 is: 394,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875.70 : 417,013.68 = 285,932.47 : x
  2. Step 2: Convert to fraction form
    301,875.70/417,013.68 = 285,932.47/x
  3. Step 3: Cross multiply
    301,875.70x = 417,013.68 × 285,932.47
  4. Step 4: Simplify right side
    301,875.70x = 119,237,751,546.19
  5. Step 5: Solve for x
    x = 119,237,751,546.19/301,875.70
  6. Step 6: Final answer
    x = 394,989.57

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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.