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Finding the Fourth Proportional to 497,055.01, 685,955.33 and 282,215.07

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Solution

The fourth proportional to 497,055.01, 685,955.33 and 282,215.07 is: 389,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,055.01 : 685,955.33 = 282,215.07 : x
  2. Step 2: Convert to fraction form
    497,055.01/685,955.33 = 282,215.07/x
  3. Step 3: Cross multiply
    497,055.01x = 685,955.33 × 282,215.07
  4. Step 4: Simplify right side
    497,055.01x = 193,586,931,472.82
  5. Step 5: Solve for x
    x = 193,586,931,472.82/497,055.01
  6. Step 6: Final answer
    x = 389,467.82

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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.