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Finding the Fourth Proportional to 538,415.40, 806,931.90 and 413,135.40

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Solution

The fourth proportional to 538,415.40, 806,931.90 and 413,135.40 is: 619,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,415.40 : 806,931.90 = 413,135.40 : x
  2. Step 2: Convert to fraction form
    538,415.40/806,931.90 = 413,135.40/x
  3. Step 3: Cross multiply
    538,415.40x = 806,931.90 × 413,135.40
  4. Step 4: Simplify right side
    538,415.40x = 333,372,133,279.26
  5. Step 5: Solve for x
    x = 333,372,133,279.26/538,415.40
  6. Step 6: Final answer
    x = 619,172.73

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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.