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Finding the Fourth Proportional to 320,728.84, 442,606.66 and 177,498.76

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Solution

The fourth proportional to 320,728.84, 442,606.66 and 177,498.76 is: 244,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,728.84 : 442,606.66 = 177,498.76 : x
  2. Step 2: Convert to fraction form
    320,728.84/442,606.66 = 177,498.76/x
  3. Step 3: Cross multiply
    320,728.84x = 442,606.66 × 177,498.76
  4. Step 4: Simplify right side
    320,728.84x = 78,562,133,317.74
  5. Step 5: Solve for x
    x = 78,562,133,317.74/320,728.84
  6. Step 6: Final answer
    x = 244,948.77

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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.