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Finding the Fourth Proportional to 369,376.76, 509,690.82 and 208,238.60

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Solution

The fourth proportional to 369,376.76, 509,690.82 and 208,238.60 is: 287,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,376.76 : 509,690.82 = 208,238.60 : x
  2. Step 2: Convert to fraction form
    369,376.76/509,690.82 = 208,238.60/x
  3. Step 3: Cross multiply
    369,376.76x = 509,690.82 × 208,238.60
  4. Step 4: Simplify right side
    369,376.76x = 106,137,302,789.65
  5. Step 5: Solve for x
    x = 106,137,302,789.65/369,376.76
  6. Step 6: Final answer
    x = 287,341.58

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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.