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Finding the Fourth Proportional to 343,042, 514,470 and 143,320.60

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Solution

The fourth proportional to 343,042, 514,470 and 143,320.60 is: 214,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,042 : 514,470 = 143,320.60 : x
  2. Step 2: Convert to fraction form
    343,042/514,470 = 143,320.60/x
  3. Step 3: Cross multiply
    343,042x = 514,470 × 143,320.60
  4. Step 4: Simplify right side
    343,042x = 73,734,149,082
  5. Step 5: Solve for x
    x = 73,734,149,082/343,042
  6. Step 6: Final answer
    x = 214,942.05

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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.