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Finding the Fourth Proportional to 535,673.86, 739,238.99 and 293,978.93

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Solution

The fourth proportional to 535,673.86, 739,238.99 and 293,978.93 is: 405,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,673.86 : 739,238.99 = 293,978.93 : x
  2. Step 2: Convert to fraction form
    535,673.86/739,238.99 = 293,978.93/x
  3. Step 3: Cross multiply
    535,673.86x = 739,238.99 × 293,978.93
  4. Step 4: Simplify right side
    535,673.86x = 217,320,682,128.39
  5. Step 5: Solve for x
    x = 217,320,682,128.39/535,673.86
  6. Step 6: Final answer
    x = 405,695.89

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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.