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Finding the Fourth Proportional to 285,707.96, 428,565.59 and 196,937.63

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Solution

The fourth proportional to 285,707.96, 428,565.59 and 196,937.63 is: 295,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,707.96 : 428,565.59 = 196,937.63 : x
  2. Step 2: Convert to fraction form
    285,707.96/428,565.59 = 196,937.63/x
  3. Step 3: Cross multiply
    285,707.96x = 428,565.59 × 196,937.63
  4. Step 4: Simplify right side
    285,707.96x = 84,400,692,419.39
  5. Step 5: Solve for x
    x = 84,400,692,419.39/285,707.96
  6. Step 6: Final answer
    x = 295,408.96

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1.5x scale

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.