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Finding the Fourth Proportional to 490,094.40, 734,752.80 and 268,478.40

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Solution

The fourth proportional to 490,094.40, 734,752.80 and 268,478.40 is: 402,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,094.40 : 734,752.80 = 268,478.40 : x
  2. Step 2: Convert to fraction form
    490,094.40/734,752.80 = 268,478.40/x
  3. Step 3: Cross multiply
    490,094.40x = 734,752.80 × 268,478.40
  4. Step 4: Simplify right side
    490,094.40x = 197,265,256,139.52
  5. Step 5: Solve for x
    x = 197,265,256,139.52/490,094.40
  6. Step 6: Final answer
    x = 402,504.61

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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.