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Finding the Fourth Proportional to 497,253.10, 686,185.40 and 282,364.78

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Solution

The fourth proportional to 497,253.10, 686,185.40 and 282,364.78 is: 389,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,253.10 : 686,185.40 = 282,364.78 : x
  2. Step 2: Convert to fraction form
    497,253.10/686,185.40 = 282,364.78/x
  3. Step 3: Cross multiply
    497,253.10x = 686,185.40 × 282,364.78
  4. Step 4: Simplify right side
    497,253.10x = 193,754,589,510.21
  5. Step 5: Solve for x
    x = 193,754,589,510.21/497,253.10
  6. Step 6: Final answer
    x = 389,649.84

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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.