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Finding the Fourth Proportional to 497,979.84, 687,269.76 and 277,239.36

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Solution

The fourth proportional to 497,979.84, 687,269.76 and 277,239.36 is: 382,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,979.84 : 687,269.76 = 277,239.36 : x
  2. Step 2: Convert to fraction form
    497,979.84/687,269.76 = 277,239.36/x
  3. Step 3: Cross multiply
    497,979.84x = 687,269.76 × 277,239.36
  4. Step 4: Simplify right side
    497,979.84x = 190,538,228,409.75
  5. Step 5: Solve for x
    x = 190,538,228,409.75/497,979.84
  6. Step 6: Final answer
    x = 382,622.37

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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.