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Finding the Fourth Proportional to 320,340.84, 442,071.16 and 175,156

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Solution

The fourth proportional to 320,340.84, 442,071.16 and 175,156 is: 241,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,340.84 : 442,071.16 = 175,156 : x
  2. Step 2: Convert to fraction form
    320,340.84/442,071.16 = 175,156/x
  3. Step 3: Cross multiply
    320,340.84x = 442,071.16 × 175,156
  4. Step 4: Simplify right side
    320,340.84x = 77,431,416,100.96
  5. Step 5: Solve for x
    x = 77,431,416,100.96/320,340.84
  6. Step 6: Final answer
    x = 241,715.72

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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.