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Finding the Fourth Proportional to 369,797.80, 510,263.94 and 208,640.20

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Solution

The fourth proportional to 369,797.80, 510,263.94 and 208,640.20 is: 287,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,797.80 : 510,263.94 = 208,640.20 : x
  2. Step 2: Convert to fraction form
    369,797.80/510,263.94 = 208,640.20/x
  3. Step 3: Cross multiply
    369,797.80x = 510,263.94 × 208,640.20
  4. Step 4: Simplify right side
    369,797.80x = 106,461,570,494.39
  5. Step 5: Solve for x
    x = 106,461,570,494.39/369,797.80
  6. Step 6: Final answer
    x = 287,891.30

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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.