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Finding the Fourth Proportional to 320,883.87, 442,802.17 and 175,661.56

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Solution

The fourth proportional to 320,883.87, 442,802.17 and 175,661.56 is: 242,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,883.87 : 442,802.17 = 175,661.56 : x
  2. Step 2: Convert to fraction form
    320,883.87/442,802.17 = 175,661.56/x
  3. Step 3: Cross multiply
    320,883.87x = 442,802.17 × 175,661.56
  4. Step 4: Simplify right side
    320,883.87x = 77,783,319,953.59
  5. Step 5: Solve for x
    x = 77,783,319,953.59/320,883.87
  6. Step 6: Final answer
    x = 242,403.34

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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.