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Finding the Fourth Proportional to 378,702.04, 522,610.52 and 208,941.16

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Solution

The fourth proportional to 378,702.04, 522,610.52 and 208,941.16 is: 288,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,702.04 : 522,610.52 = 208,941.16 : x
  2. Step 2: Convert to fraction form
    378,702.04/522,610.52 = 208,941.16/x
  3. Step 3: Cross multiply
    378,702.04x = 522,610.52 × 208,941.16
  4. Step 4: Simplify right side
    378,702.04x = 109,194,848,277.00
  5. Step 5: Solve for x
    x = 109,194,848,277.00/378,702.04
  6. Step 6: Final answer
    x = 288,339.74

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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.