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Finding the Fourth Proportional to 501,287.19, 691,779.74 and 274,934.31

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Solution

The fourth proportional to 501,287.19, 691,779.74 and 274,934.31 is: 379,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,287.19 : 691,779.74 = 274,934.31 : x
  2. Step 2: Convert to fraction form
    501,287.19/691,779.74 = 274,934.31/x
  3. Step 3: Cross multiply
    501,287.19x = 691,779.74 × 274,934.31
  4. Step 4: Simplify right side
    501,287.19x = 190,193,984,114.21
  5. Step 5: Solve for x
    x = 190,193,984,114.21/501,287.19
  6. Step 6: Final answer
    x = 379,411.22

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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.