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Finding the Fourth Proportional to 281,407.64, 388,345.01 and 166,692.80

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Solution

The fourth proportional to 281,407.64, 388,345.01 and 166,692.80 is: 230,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,407.64 : 388,345.01 = 166,692.80 : x
  2. Step 2: Convert to fraction form
    281,407.64/388,345.01 = 166,692.80/x
  3. Step 3: Cross multiply
    281,407.64x = 388,345.01 × 166,692.80
  4. Step 4: Simplify right side
    281,407.64x = 64,734,317,220.33
  5. Step 5: Solve for x
    x = 64,734,317,220.33/281,407.64
  6. Step 6: Final answer
    x = 230,037.53

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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.