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Finding the Fourth Proportional to 538,408.84, 807,412.15 and 178,513.69

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Solution

The fourth proportional to 538,408.84, 807,412.15 and 178,513.69 is: 267,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,408.84 : 807,412.15 = 178,513.69 : x
  2. Step 2: Convert to fraction form
    538,408.84/807,412.15 = 178,513.69/x
  3. Step 3: Cross multiply
    538,408.84x = 807,412.15 × 178,513.69
  4. Step 4: Simplify right side
    538,408.84x = 144,134,122,247.33
  5. Step 5: Solve for x
    x = 144,134,122,247.33/538,408.84
  6. Step 6: Final answer
    x = 267,703.86

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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.