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Finding the Fourth Proportional to 490,097.60, 735,583.80 and 423,612.80

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Solution

The fourth proportional to 490,097.60, 735,583.80 and 423,612.80 is: 635,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,097.60 : 735,583.80 = 423,612.80 : x
  2. Step 2: Convert to fraction form
    490,097.60/735,583.80 = 423,612.80/x
  3. Step 3: Cross multiply
    490,097.60x = 735,583.80 × 423,612.80
  4. Step 4: Simplify right side
    490,097.60x = 311,602,713,152.64
  5. Step 5: Solve for x
    x = 311,602,713,152.64/490,097.60
  6. Step 6: Final answer
    x = 635,797.26

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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.