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Finding the Fourth Proportional to 477,182.49, 715,655.67 and 285,109.35

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Solution

The fourth proportional to 477,182.49, 715,655.67 and 285,109.35 is: 427,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,182.49 : 715,655.67 = 285,109.35 : x
  2. Step 2: Convert to fraction form
    477,182.49/715,655.67 = 285,109.35/x
  3. Step 3: Cross multiply
    477,182.49x = 715,655.67 × 285,109.35
  4. Step 4: Simplify right side
    477,182.49x = 204,040,122,897.52
  5. Step 5: Solve for x
    x = 204,040,122,897.52/477,182.49
  6. Step 6: Final answer
    x = 427,593.48

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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.