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Finding the Fourth Proportional to 301,343.28, 451,464 and 141,125.28

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Solution

The fourth proportional to 301,343.28, 451,464 and 141,125.28 is: 211,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.28 : 451,464 = 141,125.28 : x
  2. Step 2: Convert to fraction form
    301,343.28/451,464 = 141,125.28/x
  3. Step 3: Cross multiply
    301,343.28x = 451,464 × 141,125.28
  4. Step 4: Simplify right side
    301,343.28x = 63,712,983,409.92
  5. Step 5: Solve for x
    x = 63,712,983,409.92/301,343.28
  6. Step 6: Final answer
    x = 211,429.91

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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.