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Finding the Fourth Proportional to 285,194.72, 428,567.52 and 152,168.96

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Solution

The fourth proportional to 285,194.72, 428,567.52 and 152,168.96 is: 228,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,194.72 : 428,567.52 = 152,168.96 : x
  2. Step 2: Convert to fraction form
    285,194.72/428,567.52 = 152,168.96/x
  3. Step 3: Cross multiply
    285,194.72x = 428,567.52 × 152,168.96
  4. Step 4: Simplify right side
    285,194.72x = 65,214,673,808.18
  5. Step 5: Solve for x
    x = 65,214,673,808.18/285,194.72
  6. Step 6: Final answer
    x = 228,667.19

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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.