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Finding the Fourth Proportional to 289,292.16, 434,003.64 and 156,169.56

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Solution

The fourth proportional to 289,292.16, 434,003.64 and 156,169.56 is: 234,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,292.16 : 434,003.64 = 156,169.56 : x
  2. Step 2: Convert to fraction form
    289,292.16/434,003.64 = 156,169.56/x
  3. Step 3: Cross multiply
    289,292.16x = 434,003.64 × 156,169.56
  4. Step 4: Simplify right side
    289,292.16x = 67,778,157,497.20
  5. Step 5: Solve for x
    x = 67,778,157,497.20/289,292.16
  6. Step 6: Final answer
    x = 234,289.65

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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.