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Finding the Fourth Proportional to 538,664.65, 743,219.45 and 342,359.53

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Solution

The fourth proportional to 538,664.65, 743,219.45 and 342,359.53 is: 472,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,664.65 : 743,219.45 = 342,359.53 : x
  2. Step 2: Convert to fraction form
    538,664.65/743,219.45 = 342,359.53/x
  3. Step 3: Cross multiply
    538,664.65x = 743,219.45 × 342,359.53
  4. Step 4: Simplify right side
    538,664.65x = 254,448,258,874.91
  5. Step 5: Solve for x
    x = 254,448,258,874.91/538,664.65
  6. Step 6: Final answer
    x = 472,368.59

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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.