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Finding the Fourth Proportional to 497,175.42, 686,078.46 and 282,287.28

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Solution

The fourth proportional to 497,175.42, 686,078.46 and 282,287.28 is: 389,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,175.42 : 686,078.46 = 282,287.28 : x
  2. Step 2: Convert to fraction form
    497,175.42/686,078.46 = 282,287.28/x
  3. Step 3: Cross multiply
    497,175.42x = 686,078.46 × 282,287.28
  4. Step 4: Simplify right side
    497,175.42x = 193,671,222,339.99
  5. Step 5: Solve for x
    x = 193,671,222,339.99/497,175.42
  6. Step 6: Final answer
    x = 389,543.04

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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.