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Finding the Fourth Proportional to 380,513.34, 570,835.62 and 170,167.68

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Solution

The fourth proportional to 380,513.34, 570,835.62 and 170,167.68 is: 255,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,513.34 : 570,835.62 = 170,167.68 : x
  2. Step 2: Convert to fraction form
    380,513.34/570,835.62 = 170,167.68/x
  3. Step 3: Cross multiply
    380,513.34x = 570,835.62 × 170,167.68
  4. Step 4: Simplify right side
    380,513.34x = 97,137,773,116.76
  5. Step 5: Solve for x
    x = 97,137,773,116.76/380,513.34
  6. Step 6: Final answer
    x = 255,280.86

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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.