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Finding the Fourth Proportional to 497,263.74, 686,224.76 and 282,403.76

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Solution

The fourth proportional to 497,263.74, 686,224.76 and 282,403.76 is: 389,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,263.74 : 686,224.76 = 282,403.76 : x
  2. Step 2: Convert to fraction form
    497,263.74/686,224.76 = 282,403.76/x
  3. Step 3: Cross multiply
    497,263.74x = 686,224.76 × 282,403.76
  4. Step 4: Simplify right side
    497,263.74x = 193,792,447,585.96
  5. Step 5: Solve for x
    x = 193,792,447,585.96/497,263.74
  6. Step 6: Final answer
    x = 389,717.63

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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.