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Finding the Fourth Proportional to 497,955.58, 687,236.79 and 283,127.83

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Solution

The fourth proportional to 497,955.58, 687,236.79 and 283,127.83 is: 390,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,955.58 : 687,236.79 = 283,127.83 : x
  2. Step 2: Convert to fraction form
    497,955.58/687,236.79 = 283,127.83/x
  3. Step 3: Cross multiply
    497,955.58x = 687,236.79 × 283,127.83
  4. Step 4: Simplify right side
    497,955.58x = 194,575,861,048.87
  5. Step 5: Solve for x
    x = 194,575,861,048.87/497,955.58
  6. Step 6: Final answer
    x = 390,749.43

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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.