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Finding the Fourth Proportional to 493,054.40, 738,998.40 and 256,275.20

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Solution

The fourth proportional to 493,054.40, 738,998.40 and 256,275.20 is: 384,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,054.40 : 738,998.40 = 256,275.20 : x
  2. Step 2: Convert to fraction form
    493,054.40/738,998.40 = 256,275.20/x
  3. Step 3: Cross multiply
    493,054.40x = 738,998.40 × 256,275.20
  4. Step 4: Simplify right side
    493,054.40x = 189,386,962,759.68
  5. Step 5: Solve for x
    x = 189,386,962,759.68/493,054.40
  6. Step 6: Final answer
    x = 384,109.67

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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.