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Finding the Fourth Proportional to 357,183.80, 535,775.70 and 278,357

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Solution

The fourth proportional to 357,183.80, 535,775.70 and 278,357 is: 417,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,183.80 : 535,775.70 = 278,357 : x
  2. Step 2: Convert to fraction form
    357,183.80/535,775.70 = 278,357/x
  3. Step 3: Cross multiply
    357,183.80x = 535,775.70 × 278,357
  4. Step 4: Simplify right side
    357,183.80x = 149,136,916,524.90
  5. Step 5: Solve for x
    x = 149,136,916,524.90/357,183.80
  6. Step 6: Final answer
    x = 417,535.50

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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.