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Finding the Fourth Proportional to 759,496, 1,138,498.80 and 422,698

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Solution

The fourth proportional to 759,496, 1,138,498.80 and 422,698 is: 633,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,496 : 1,138,498.80 = 422,698 : x
  2. Step 2: Convert to fraction form
    759,496/1,138,498.80 = 422,698/x
  3. Step 3: Cross multiply
    759,496x = 1,138,498.80 × 422,698
  4. Step 4: Simplify right side
    759,496x = 481,241,165,762.40
  5. Step 5: Solve for x
    x = 481,241,165,762.40/759,496
  6. Step 6: Final answer
    x = 633,632.26

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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.