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Finding the Fourth Proportional to 497,969.73, 687,152.07 and 283,067.82

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Solution

The fourth proportional to 497,969.73, 687,152.07 and 283,067.82 is: 390,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,969.73 : 687,152.07 = 283,067.82 : x
  2. Step 2: Convert to fraction form
    497,969.73/687,152.07 = 283,067.82/x
  3. Step 3: Cross multiply
    497,969.73x = 687,152.07 × 283,067.82
  4. Step 4: Simplify right side
    497,969.73x = 194,510,638,463.39
  5. Step 5: Solve for x
    x = 194,510,638,463.39/497,969.73
  6. Step 6: Final answer
    x = 390,607.35

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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.