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Finding the Fourth Proportional to 521,405, 719,538.90 and 282,941

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Solution

The fourth proportional to 521,405, 719,538.90 and 282,941 is: 390,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,405 : 719,538.90 = 282,941 : x
  2. Step 2: Convert to fraction form
    521,405/719,538.90 = 282,941/x
  3. Step 3: Cross multiply
    521,405x = 719,538.90 × 282,941
  4. Step 4: Simplify right side
    521,405x = 203,587,055,904.90
  5. Step 5: Solve for x
    x = 203,587,055,904.90/521,405
  6. Step 6: Final answer
    x = 390,458.58

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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.