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Finding the Fourth Proportional to 497,882.51, 686,959.76 and 283,005.66

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Solution

The fourth proportional to 497,882.51, 686,959.76 and 283,005.66 is: 390,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,882.51 : 686,959.76 = 283,005.66 : x
  2. Step 2: Convert to fraction form
    497,882.51/686,959.76 = 283,005.66/x
  3. Step 3: Cross multiply
    497,882.51x = 686,959.76 × 283,005.66
  4. Step 4: Simplify right side
    497,882.51x = 194,413,500,272.24
  5. Step 5: Solve for x
    x = 194,413,500,272.24/497,882.51
  6. Step 6: Final answer
    x = 390,480.68

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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.