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Finding the Fourth Proportional to 301,539.72, 416,178.54 and 225,440.76

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Solution

The fourth proportional to 301,539.72, 416,178.54 and 225,440.76 is: 311,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,539.72 : 416,178.54 = 225,440.76 : x
  2. Step 2: Convert to fraction form
    301,539.72/416,178.54 = 225,440.76/x
  3. Step 3: Cross multiply
    301,539.72x = 416,178.54 × 225,440.76
  4. Step 4: Simplify right side
    301,539.72x = 93,823,606,353.29
  5. Step 5: Solve for x
    x = 93,823,606,353.29/301,539.72
  6. Step 6: Final answer
    x = 311,148.42

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1.5x scale

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.