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Finding the Fourth Proportional to 369,375.76, 509,689.44 and 208,237.60

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Solution

The fourth proportional to 369,375.76, 509,689.44 and 208,237.60 is: 287,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,375.76 : 509,689.44 = 208,237.60 : x
  2. Step 2: Convert to fraction form
    369,375.76/509,689.44 = 208,237.60/x
  3. Step 3: Cross multiply
    369,375.76x = 509,689.44 × 208,237.60
  4. Step 4: Simplify right side
    369,375.76x = 106,136,505,730.94
  5. Step 5: Solve for x
    x = 106,136,505,730.94/369,375.76
  6. Step 6: Final answer
    x = 287,340.20

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1.5x scale

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.