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Finding the Fourth Proportional to 538,214.57, 743,491.55 and 509,871.05

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Solution

The fourth proportional to 538,214.57, 743,491.55 and 509,871.05 is: 704,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,214.57 : 743,491.55 = 509,871.05 : x
  2. Step 2: Convert to fraction form
    538,214.57/743,491.55 = 509,871.05/x
  3. Step 3: Cross multiply
    538,214.57x = 743,491.55 × 509,871.05
  4. Step 4: Simplify right side
    538,214.57x = 379,084,817,264.63
  5. Step 5: Solve for x
    x = 379,084,817,264.63/538,214.57
  6. Step 6: Final answer
    x = 704,337.71

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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.