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Finding the Fourth Proportional to 342,892.20, 514,629.90 and 153,643.80

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Solution

The fourth proportional to 342,892.20, 514,629.90 and 153,643.80 is: 230,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,892.20 : 514,629.90 = 153,643.80 : x
  2. Step 2: Convert to fraction form
    342,892.20/514,629.90 = 153,643.80/x
  3. Step 3: Cross multiply
    342,892.20x = 514,629.90 × 153,643.80
  4. Step 4: Simplify right side
    342,892.20x = 79,069,693,429.62
  5. Step 5: Solve for x
    x = 79,069,693,429.62/342,892.20
  6. Step 6: Final answer
    x = 230,596.36

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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.