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Finding the Fourth Proportional to 369,267.27, 509,616.81 and 208,137.48

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Solution

The fourth proportional to 369,267.27, 509,616.81 and 208,137.48 is: 287,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,267.27 : 509,616.81 = 208,137.48 : x
  2. Step 2: Convert to fraction form
    369,267.27/509,616.81 = 208,137.48/x
  3. Step 3: Cross multiply
    369,267.27x = 509,616.81 × 208,137.48
  4. Step 4: Simplify right side
    369,267.27x = 106,070,358,599.04
  5. Step 5: Solve for x
    x = 106,070,358,599.04/369,267.27
  6. Step 6: Final answer
    x = 287,245.49

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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.