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Finding the Fourth Proportional to 507,977.43, 762,007.56 and 255,127.83

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Solution

The fourth proportional to 507,977.43, 762,007.56 and 255,127.83 is: 382,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,977.43 : 762,007.56 = 255,127.83 : x
  2. Step 2: Convert to fraction form
    507,977.43/762,007.56 = 255,127.83/x
  3. Step 3: Cross multiply
    507,977.43x = 762,007.56 × 255,127.83
  4. Step 4: Simplify right side
    507,977.43x = 194,409,335,226.40
  5. Step 5: Solve for x
    x = 194,409,335,226.40/507,977.43
  6. Step 6: Final answer
    x = 382,712.55

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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.