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Finding the Fourth Proportional to 257,012.92, 385,367.88 and 120,084.56

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Solution

The fourth proportional to 257,012.92, 385,367.88 and 120,084.56 is: 180,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,012.92 : 385,367.88 = 120,084.56 : x
  2. Step 2: Convert to fraction form
    257,012.92/385,367.88 = 120,084.56/x
  3. Step 3: Cross multiply
    257,012.92x = 385,367.88 × 120,084.56
  4. Step 4: Simplify right side
    257,012.92x = 46,276,732,307.93
  5. Step 5: Solve for x
    x = 46,276,732,307.93/257,012.92
  6. Step 6: Final answer
    x = 180,056.05

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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.