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Finding the Fourth Proportional to 497,502.26, 686,571.47 and 282,678.71

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Solution

The fourth proportional to 497,502.26, 686,571.47 and 282,678.71 is: 390,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,502.26 : 686,571.47 = 282,678.71 : x
  2. Step 2: Convert to fraction form
    497,502.26/686,571.47 = 282,678.71/x
  3. Step 3: Cross multiply
    497,502.26x = 686,571.47 × 282,678.71
  4. Step 4: Simplify right side
    497,502.26x = 194,079,132,616.15
  5. Step 5: Solve for x
    x = 194,079,132,616.15/497,502.26
  6. Step 6: Final answer
    x = 390,107.04

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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.