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Finding the Fourth Proportional to 285,253.85, 393,656.36 and 156,197.77

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Solution

The fourth proportional to 285,253.85, 393,656.36 and 156,197.77 is: 215,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,253.85 : 393,656.36 = 156,197.77 : x
  2. Step 2: Convert to fraction form
    285,253.85/393,656.36 = 156,197.77/x
  3. Step 3: Cross multiply
    285,253.85x = 393,656.36 × 156,197.77
  4. Step 4: Simplify right side
    285,253.85x = 61,488,243,813.19
  5. Step 5: Solve for x
    x = 61,488,243,813.19/285,253.85
  6. Step 6: Final answer
    x = 215,556.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.