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Finding the Fourth Proportional to 566,687, 782,028.06 and 312,037.58

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Solution

The fourth proportional to 566,687, 782,028.06 and 312,037.58 is: 430,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,687 : 782,028.06 = 312,037.58 : x
  2. Step 2: Convert to fraction form
    566,687/782,028.06 = 312,037.58/x
  3. Step 3: Cross multiply
    566,687x = 782,028.06 × 312,037.58
  4. Step 4: Simplify right side
    566,687x = 244,022,143,334.50
  5. Step 5: Solve for x
    x = 244,022,143,334.50/566,687
  6. Step 6: Final answer
    x = 430,611.86

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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.