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Finding the Fourth Proportional to 257,075.92, 354,765.20 and 140,788.88

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Solution

The fourth proportional to 257,075.92, 354,765.20 and 140,788.88 is: 194,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.92 : 354,765.20 = 140,788.88 : x
  2. Step 2: Convert to fraction form
    257,075.92/354,765.20 = 140,788.88/x
  3. Step 3: Cross multiply
    257,075.92x = 354,765.20 × 140,788.88
  4. Step 4: Simplify right side
    257,075.92x = 49,946,995,170.98
  5. Step 5: Solve for x
    x = 49,946,995,170.98/257,075.92
  6. Step 6: Final answer
    x = 194,288.89

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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.