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Finding the Fourth Proportional to 320,991.68, 442,925.16 and 177,748.16

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Solution

The fourth proportional to 320,991.68, 442,925.16 and 177,748.16 is: 245,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,991.68 : 442,925.16 = 177,748.16 : x
  2. Step 2: Convert to fraction form
    320,991.68/442,925.16 = 177,748.16/x
  3. Step 3: Cross multiply
    320,991.68x = 442,925.16 × 177,748.16
  4. Step 4: Simplify right side
    320,991.68x = 78,729,132,207.71
  5. Step 5: Solve for x
    x = 78,729,132,207.71/320,991.68
  6. Step 6: Final answer
    x = 245,268.45

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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.