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Finding the Fourth Proportional to 320,551.72, 442,212.42 and 207,410.92

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Solution

The fourth proportional to 320,551.72, 442,212.42 and 207,410.92 is: 286,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,551.72 : 442,212.42 = 207,410.92 : x
  2. Step 2: Convert to fraction form
    320,551.72/442,212.42 = 207,410.92/x
  3. Step 3: Cross multiply
    320,551.72x = 442,212.42 × 207,410.92
  4. Step 4: Simplify right side
    320,551.72x = 91,719,684,867.63
  5. Step 5: Solve for x
    x = 91,719,684,867.63/320,551.72
  6. Step 6: Final answer
    x = 286,130.69

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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.