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Finding the Fourth Proportional to 536,134.89, 739,866.13 and 294,421.49

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Solution

The fourth proportional to 536,134.89, 739,866.13 and 294,421.49 is: 406,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,134.89 : 739,866.13 = 294,421.49 : x
  2. Step 2: Convert to fraction form
    536,134.89/739,866.13 = 294,421.49/x
  3. Step 3: Cross multiply
    536,134.89x = 739,866.13 × 294,421.49
  4. Step 4: Simplify right side
    536,134.89x = 217,832,486,923.03
  5. Step 5: Solve for x
    x = 217,832,486,923.03/536,134.89
  6. Step 6: Final answer
    x = 406,301.64

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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.