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Finding the Fourth Proportional to 320,940.05, 442,904.22 and 175,752

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Solution

The fourth proportional to 320,940.05, 442,904.22 and 175,752 is: 242,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,940.05 : 442,904.22 = 175,752 : x
  2. Step 2: Convert to fraction form
    320,940.05/442,904.22 = 175,752/x
  3. Step 3: Cross multiply
    320,940.05x = 442,904.22 × 175,752
  4. Step 4: Simplify right side
    320,940.05x = 77,841,302,473.44
  5. Step 5: Solve for x
    x = 77,841,302,473.44/320,940.05
  6. Step 6: Final answer
    x = 242,541.57

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1.5x scale

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.