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Finding the Fourth Proportional to 285,352.90, 393,794.12 and 156,298.43

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Solution

The fourth proportional to 285,352.90, 393,794.12 and 156,298.43 is: 215,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352.90 : 393,794.12 = 156,298.43 : x
  2. Step 2: Convert to fraction form
    285,352.90/393,794.12 = 156,298.43/x
  3. Step 3: Cross multiply
    285,352.90x = 393,794.12 × 156,298.43
  4. Step 4: Simplify right side
    285,352.90x = 61,549,404,074.46
  5. Step 5: Solve for x
    x = 61,549,404,074.46/285,352.90
  6. Step 6: Final answer
    x = 215,695.74

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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.