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Finding the Fourth Proportional to 380,516.19, 570,773.90 and 155,877.05

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Solution

The fourth proportional to 380,516.19, 570,773.90 and 155,877.05 is: 233,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,516.19 : 570,773.90 = 155,877.05 : x
  2. Step 2: Convert to fraction form
    380,516.19/570,773.90 = 155,877.05/x
  3. Step 3: Cross multiply
    380,516.19x = 570,773.90 × 155,877.05
  4. Step 4: Simplify right side
    380,516.19x = 88,970,548,115.74
  5. Step 5: Solve for x
    x = 88,970,548,115.74/380,516.19
  6. Step 6: Final answer
    x = 233,815.41

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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.