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Finding the Fourth Proportional to 635,782.10, 952,740 and 319,804.34

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Solution

The fourth proportional to 635,782.10, 952,740 and 319,804.34 is: 479,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,782.10 : 952,740 = 319,804.34 : x
  2. Step 2: Convert to fraction form
    635,782.10/952,740 = 319,804.34/x
  3. Step 3: Cross multiply
    635,782.10x = 952,740 × 319,804.34
  4. Step 4: Simplify right side
    635,782.10x = 304,690,382,127.90
  5. Step 5: Solve for x
    x = 304,690,382,127.90/635,782.10
  6. Step 6: Final answer
    x = 479,237.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.