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Finding the Fourth Proportional to 547,308.36, 820,404 and 310,150.08

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Solution

The fourth proportional to 547,308.36, 820,404 and 310,150.08 is: 464,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,308.36 : 820,404 = 310,150.08 : x
  2. Step 2: Convert to fraction form
    547,308.36/820,404 = 310,150.08/x
  3. Step 3: Cross multiply
    547,308.36x = 820,404 × 310,150.08
  4. Step 4: Simplify right side
    547,308.36x = 254,448,366,232.32
  5. Step 5: Solve for x
    x = 254,448,366,232.32/547,308.36
  6. Step 6: Final answer
    x = 464,908.61

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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.