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Finding the Fourth Proportional to 320,597.76, 442,097.28 and 213,185.28

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Solution

The fourth proportional to 320,597.76, 442,097.28 and 213,185.28 is: 293,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,597.76 : 442,097.28 = 213,185.28 : x
  2. Step 2: Convert to fraction form
    320,597.76/442,097.28 = 213,185.28/x
  3. Step 3: Cross multiply
    320,597.76x = 442,097.28 × 213,185.28
  4. Step 4: Simplify right side
    320,597.76x = 94,248,632,424.04
  5. Step 5: Solve for x
    x = 94,248,632,424.04/320,597.76
  6. Step 6: Final answer
    x = 293,977.83

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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.