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Finding the Fourth Proportional to 521,404, 719,537.52 and 282,940

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Solution

The fourth proportional to 521,404, 719,537.52 and 282,940 is: 390,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,404 : 719,537.52 = 282,940 : x
  2. Step 2: Convert to fraction form
    521,404/719,537.52 = 282,940/x
  3. Step 3: Cross multiply
    521,404x = 719,537.52 × 282,940
  4. Step 4: Simplify right side
    521,404x = 203,585,945,908.80
  5. Step 5: Solve for x
    x = 203,585,945,908.80/521,404
  6. Step 6: Final answer
    x = 390,457.20

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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.