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Finding the Fourth Proportional to 521,412, 719,548.56 and 282,948

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Solution

The fourth proportional to 521,412, 719,548.56 and 282,948 is: 390,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,412 : 719,548.56 = 282,948 : x
  2. Step 2: Convert to fraction form
    521,412/719,548.56 = 282,948/x
  3. Step 3: Cross multiply
    521,412x = 719,548.56 × 282,948
  4. Step 4: Simplify right side
    521,412x = 203,594,825,954.88
  5. Step 5: Solve for x
    x = 203,594,825,954.88/521,412
  6. Step 6: Final answer
    x = 390,468.24

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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.