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Finding the Fourth Proportional to 761,634, 1,051,054.92 and 422,124.12

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Solution

The fourth proportional to 761,634, 1,051,054.92 and 422,124.12 is: 582,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,634 : 1,051,054.92 = 422,124.12 : x
  2. Step 2: Convert to fraction form
    761,634/1,051,054.92 = 422,124.12/x
  3. Step 3: Cross multiply
    761,634x = 1,051,054.92 × 422,124.12
  4. Step 4: Simplify right side
    761,634x = 443,675,633,176.67
  5. Step 5: Solve for x
    x = 443,675,633,176.67/761,634
  6. Step 6: Final answer
    x = 582,531.29

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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.