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Finding the Fourth Proportional to 342,838.41, 514,589.31 and 165,470.28

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Solution

The fourth proportional to 342,838.41, 514,589.31 and 165,470.28 is: 248,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,838.41 : 514,589.31 = 165,470.28 : x
  2. Step 2: Convert to fraction form
    342,838.41/514,589.31 = 165,470.28/x
  3. Step 3: Cross multiply
    342,838.41x = 514,589.31 × 165,470.28
  4. Step 4: Simplify right side
    342,838.41x = 85,149,237,210.71
  5. Step 5: Solve for x
    x = 85,149,237,210.71/342,838.41
  6. Step 6: Final answer
    x = 248,365.51

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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.