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Finding the Fourth Proportional to 540,725.75, 746,206.41 and 299,024.72

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Solution

The fourth proportional to 540,725.75, 746,206.41 and 299,024.72 is: 412,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,725.75 : 746,206.41 = 299,024.72 : x
  2. Step 2: Convert to fraction form
    540,725.75/746,206.41 = 299,024.72/x
  3. Step 3: Cross multiply
    540,725.75x = 746,206.41 × 299,024.72
  4. Step 4: Simplify right side
    540,725.75x = 223,134,163,556.63
  5. Step 5: Solve for x
    x = 223,134,163,556.63/540,725.75
  6. Step 6: Final answer
    x = 412,656.81

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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.