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Finding the Fourth Proportional to 320,892.71, 442,815.09 and 175,670.64

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Solution

The fourth proportional to 320,892.71, 442,815.09 and 175,670.64 is: 242,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,892.71 : 442,815.09 = 175,670.64 : x
  2. Step 2: Convert to fraction form
    320,892.71/442,815.09 = 175,670.64/x
  3. Step 3: Cross multiply
    320,892.71x = 442,815.09 × 175,670.64
  4. Step 4: Simplify right side
    320,892.71x = 77,789,611,263.75
  5. Step 5: Solve for x
    x = 77,789,611,263.75/320,892.71
  6. Step 6: Final answer
    x = 242,416.26

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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.