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Finding the Fourth Proportional to 496,881.36, 685,708.20 and 282,047.76

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Solution

The fourth proportional to 496,881.36, 685,708.20 and 282,047.76 is: 389,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,881.36 : 685,708.20 = 282,047.76 : x
  2. Step 2: Convert to fraction form
    496,881.36/685,708.20 = 282,047.76/x
  3. Step 3: Cross multiply
    496,881.36x = 685,708.20 × 282,047.76
  4. Step 4: Simplify right side
    496,881.36x = 193,402,461,823.63
  5. Step 5: Solve for x
    x = 193,402,461,823.63/496,881.36
  6. Step 6: Final answer
    x = 389,232.68

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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.