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Finding the Fourth Proportional to 487,570.54, 731,240.94 and 274,429.18

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Solution

The fourth proportional to 487,570.54, 731,240.94 and 274,429.18 is: 411,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,570.54 : 731,240.94 = 274,429.18 : x
  2. Step 2: Convert to fraction form
    487,570.54/731,240.94 = 274,429.18/x
  3. Step 3: Cross multiply
    487,570.54x = 731,240.94 × 274,429.18
  4. Step 4: Simplify right side
    487,570.54x = 200,673,851,546.63
  5. Step 5: Solve for x
    x = 200,673,851,546.63/487,570.54
  6. Step 6: Final answer
    x = 411,579.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.