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Finding the Fourth Proportional to 380,779.41, 570,982.51 and 156,078.73

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Solution

The fourth proportional to 380,779.41, 570,982.51 and 156,078.73 is: 234,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,779.41 : 570,982.51 = 156,078.73 : x
  2. Step 2: Convert to fraction form
    380,779.41/570,982.51 = 156,078.73/x
  3. Step 3: Cross multiply
    380,779.41x = 570,982.51 × 156,078.73
  4. Step 4: Simplify right side
    380,779.41x = 89,118,223,195.36
  5. Step 5: Solve for x
    x = 89,118,223,195.36/380,779.41
  6. Step 6: Final answer
    x = 234,041.60

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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.