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Finding the Fourth Proportional to 288,091.40, 432,137.10 and 188,364.20

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Solution

The fourth proportional to 288,091.40, 432,137.10 and 188,364.20 is: 282,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,091.40 : 432,137.10 = 188,364.20 : x
  2. Step 2: Convert to fraction form
    288,091.40/432,137.10 = 188,364.20/x
  3. Step 3: Cross multiply
    288,091.40x = 432,137.10 × 188,364.20
  4. Step 4: Simplify right side
    288,091.40x = 81,399,159,131.82
  5. Step 5: Solve for x
    x = 81,399,159,131.82/288,091.40
  6. Step 6: Final answer
    x = 282,546.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.