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Finding the Fourth Proportional to 500,638.30, 690,898.47 and 274,283.98

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Solution

The fourth proportional to 500,638.30, 690,898.47 and 274,283.98 is: 378,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,638.30 : 690,898.47 = 274,283.98 : x
  2. Step 2: Convert to fraction form
    500,638.30/690,898.47 = 274,283.98/x
  3. Step 3: Cross multiply
    500,638.30x = 690,898.47 × 274,283.98
  4. Step 4: Simplify right side
    500,638.30x = 189,502,382,127.51
  5. Step 5: Solve for x
    x = 189,502,382,127.51/500,638.30
  6. Step 6: Final answer
    x = 378,521.54

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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.