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Finding the Fourth Proportional to 521,409, 719,544.42 and 282,945

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Solution

The fourth proportional to 521,409, 719,544.42 and 282,945 is: 390,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,409 : 719,544.42 = 282,945 : x
  2. Step 2: Convert to fraction form
    521,409/719,544.42 = 282,945/x
  3. Step 3: Cross multiply
    521,409x = 719,544.42 × 282,945
  4. Step 4: Simplify right side
    521,409x = 203,591,495,916.90
  5. Step 5: Solve for x
    x = 203,591,495,916.90/521,409
  6. Step 6: Final answer
    x = 390,464.10

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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.