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Finding the Fourth Proportional to 497,055.82, 685,956.45 and 282,215.89

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Solution

The fourth proportional to 497,055.82, 685,956.45 and 282,215.89 is: 389,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,055.82 : 685,956.45 = 282,215.89 : x
  2. Step 2: Convert to fraction form
    497,055.82/685,956.45 = 282,215.89/x
  3. Step 3: Cross multiply
    497,055.82x = 685,956.45 × 282,215.89
  4. Step 4: Simplify right side
    497,055.82x = 193,587,810,037.99
  5. Step 5: Solve for x
    x = 193,587,810,037.99/497,055.82
  6. Step 6: Final answer
    x = 389,468.95

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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.