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Finding the Fourth Proportional to 285,409.26, 393,859.78 and 156,350.30

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Solution

The fourth proportional to 285,409.26, 393,859.78 and 156,350.30 is: 215,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,409.26 : 393,859.78 = 156,350.30 : x
  2. Step 2: Convert to fraction form
    285,409.26/393,859.78 = 156,350.30/x
  3. Step 3: Cross multiply
    285,409.26x = 393,859.78 × 156,350.30
  4. Step 4: Simplify right side
    285,409.26x = 61,580,092,400.76
  5. Step 5: Solve for x
    x = 61,580,092,400.76/285,409.26
  6. Step 6: Final answer
    x = 215,760.67

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1.5x scale

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.