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Finding the Fourth Proportional to 532,170.86, 734,411.74 and 290,469.28

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Solution

The fourth proportional to 532,170.86, 734,411.74 and 290,469.28 is: 400,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,170.86 : 734,411.74 = 290,469.28 : x
  2. Step 2: Convert to fraction form
    532,170.86/734,411.74 = 290,469.28/x
  3. Step 3: Cross multiply
    532,170.86x = 734,411.74 × 290,469.28
  4. Step 4: Simplify right side
    532,170.86x = 213,324,049,341.35
  5. Step 5: Solve for x
    x = 213,324,049,341.35/532,170.86
  6. Step 6: Final answer
    x = 400,856.31

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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.