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Finding the Fourth Proportional to 369,468.64, 509,866.44 and 199,702.76

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Solution

The fourth proportional to 369,468.64, 509,866.44 and 199,702.76 is: 275,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,468.64 : 509,866.44 = 199,702.76 : x
  2. Step 2: Convert to fraction form
    369,468.64/509,866.44 = 199,702.76/x
  3. Step 3: Cross multiply
    369,468.64x = 509,866.44 × 199,702.76
  4. Step 4: Simplify right side
    369,468.64x = 101,821,736,074.78
  5. Step 5: Solve for x
    x = 101,821,736,074.78/369,468.64
  6. Step 6: Final answer
    x = 275,589.66

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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.