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Finding the Fourth Proportional to 342,838.87, 514,590 and 165,470.74

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Solution

The fourth proportional to 342,838.87, 514,590 and 165,470.74 is: 248,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,838.87 : 514,590 = 165,470.74 : x
  2. Step 2: Convert to fraction form
    342,838.87/514,590 = 165,470.74/x
  3. Step 3: Cross multiply
    342,838.87x = 514,590 × 165,470.74
  4. Step 4: Simplify right side
    342,838.87x = 85,149,588,096.60
  5. Step 5: Solve for x
    x = 85,149,588,096.60/342,838.87
  6. Step 6: Final answer
    x = 248,366.20

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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.