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Finding the Fourth Proportional to 369,443.80, 509,822.20 and 208,297.44

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Solution

The fourth proportional to 369,443.80, 509,822.20 and 208,297.44 is: 287,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,443.80 : 509,822.20 = 208,297.44 : x
  2. Step 2: Convert to fraction form
    369,443.80/509,822.20 = 208,297.44/x
  3. Step 3: Cross multiply
    369,443.80x = 509,822.20 × 208,297.44
  4. Step 4: Simplify right side
    369,443.80x = 106,194,659,115.17
  5. Step 5: Solve for x
    x = 106,194,659,115.17/369,443.80
  6. Step 6: Final answer
    x = 287,444.69

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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.