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Finding the Fourth Proportional to 497,055.51, 685,956.02 and 282,215.56

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Solution

The fourth proportional to 497,055.51, 685,956.02 and 282,215.56 is: 389,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,055.51 : 685,956.02 = 282,215.56 : x
  2. Step 2: Convert to fraction form
    497,055.51/685,956.02 = 282,215.56/x
  3. Step 3: Cross multiply
    497,055.51x = 685,956.02 × 282,215.56
  4. Step 4: Simplify right side
    497,055.51x = 193,587,462,319.67
  5. Step 5: Solve for x
    x = 193,587,462,319.67/497,055.51
  6. Step 6: Final answer
    x = 389,468.50

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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.