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Finding the Fourth Proportional to 570,811.60, 855,439.80 and 380,731.60

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Solution

The fourth proportional to 570,811.60, 855,439.80 and 380,731.60 is: 570,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,811.60 : 855,439.80 = 380,731.60 : x
  2. Step 2: Convert to fraction form
    570,811.60/855,439.80 = 380,731.60/x
  3. Step 3: Cross multiply
    570,811.60x = 855,439.80 × 380,731.60
  4. Step 4: Simplify right side
    570,811.60x = 325,692,963,757.68
  5. Step 5: Solve for x
    x = 325,692,963,757.68/570,811.60
  6. Step 6: Final answer
    x = 570,578.74

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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.