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Finding the Fourth Proportional to 297,406.16, 445,176.12 and 156,738.32

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Solution

The fourth proportional to 297,406.16, 445,176.12 and 156,738.32 is: 234,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,406.16 : 445,176.12 = 156,738.32 : x
  2. Step 2: Convert to fraction form
    297,406.16/445,176.12 = 156,738.32/x
  3. Step 3: Cross multiply
    297,406.16x = 445,176.12 × 156,738.32
  4. Step 4: Simplify right side
    297,406.16x = 69,776,157,152.92
  5. Step 5: Solve for x
    x = 69,776,157,152.92/297,406.16
  6. Step 6: Final answer
    x = 234,615.71

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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.