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Finding the Fourth Proportional to 496,931.88, 685,920.78 and 282,214.92

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Solution

The fourth proportional to 496,931.88, 685,920.78 and 282,214.92 is: 389,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,931.88 : 685,920.78 = 282,214.92 : x
  2. Step 2: Convert to fraction form
    496,931.88/685,920.78 = 282,214.92/x
  3. Step 3: Cross multiply
    496,931.88x = 685,920.78 × 282,214.92
  4. Step 4: Simplify right side
    496,931.88x = 193,577,078,054.04
  5. Step 5: Solve for x
    x = 193,577,078,054.04/496,931.88
  6. Step 6: Final answer
    x = 389,544.49

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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.