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Finding the Fourth Proportional to 521,410.50, 719,546.49 and 282,946.50

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Solution

The fourth proportional to 521,410.50, 719,546.49 and 282,946.50 is: 390,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,410.50 : 719,546.49 = 282,946.50 : x
  2. Step 2: Convert to fraction form
    521,410.50/719,546.49 = 282,946.50/x
  3. Step 3: Cross multiply
    521,410.50x = 719,546.49 × 282,946.50
  4. Step 4: Simplify right side
    521,410.50x = 203,593,160,932.79
  5. Step 5: Solve for x
    x = 203,593,160,932.79/521,410.50
  6. Step 6: Final answer
    x = 390,466.17

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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.