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Finding the Fourth Proportional to 521,462.50, 719,618.28 and 282,998.50

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Solution

The fourth proportional to 521,462.50, 719,618.28 and 282,998.50 is: 390,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,462.50 : 719,618.28 = 282,998.50 : x
  2. Step 2: Convert to fraction form
    521,462.50/719,618.28 = 282,998.50/x
  3. Step 3: Cross multiply
    521,462.50x = 719,618.28 × 282,998.50
  4. Step 4: Simplify right side
    521,462.50x = 203,650,893,812.58
  5. Step 5: Solve for x
    x = 203,650,893,812.58/521,462.50
  6. Step 6: Final answer
    x = 390,537.95

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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.