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Finding the Fourth Proportional to 361,441, 498,775.20 and 208,485.52

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Solution

The fourth proportional to 361,441, 498,775.20 and 208,485.52 is: 287,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,441 : 498,775.20 = 208,485.52 : x
  2. Step 2: Convert to fraction form
    361,441/498,775.20 = 208,485.52/x
  3. Step 3: Cross multiply
    361,441x = 498,775.20 × 208,485.52
  4. Step 4: Simplify right side
    361,441x = 103,987,406,935.10
  5. Step 5: Solve for x
    x = 103,987,406,935.10/361,441
  6. Step 6: Final answer
    x = 287,702.30

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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.