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Finding the Fourth Proportional to 320,454, 442,252.44 and 186,343.92

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Solution

The fourth proportional to 320,454, 442,252.44 and 186,343.92 is: 257,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,454 : 442,252.44 = 186,343.92 : x
  2. Step 2: Convert to fraction form
    320,454/442,252.44 = 186,343.92/x
  3. Step 3: Cross multiply
    320,454x = 442,252.44 × 186,343.92
  4. Step 4: Simplify right side
    320,454x = 82,411,053,299.16
  5. Step 5: Solve for x
    x = 82,411,053,299.16/320,454
  6. Step 6: Final answer
    x = 257,169.68

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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.