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Finding the Fourth Proportional to 360,912, 498,046.08 and 199,774.08

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Solution

The fourth proportional to 360,912, 498,046.08 and 199,774.08 is: 275,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,912 : 498,046.08 = 199,774.08 : x
  2. Step 2: Convert to fraction form
    360,912/498,046.08 = 199,774.08/x
  3. Step 3: Cross multiply
    360,912x = 498,046.08 × 199,774.08
  4. Step 4: Simplify right side
    360,912x = 99,496,697,429.61
  5. Step 5: Solve for x
    x = 99,496,697,429.61/360,912
  6. Step 6: Final answer
    x = 275,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.