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Finding the Fourth Proportional to 205,213.79, 307,927.26 and 155,279.04

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Solution

The fourth proportional to 205,213.79, 307,927.26 and 155,279.04 is: 232,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.79 : 307,927.26 = 155,279.04 : x
  2. Step 2: Convert to fraction form
    205,213.79/307,927.26 = 155,279.04/x
  3. Step 3: Cross multiply
    205,213.79x = 307,927.26 × 155,279.04
  4. Step 4: Simplify right side
    205,213.79x = 47,814,649,322.63
  5. Step 5: Solve for x
    x = 47,814,649,322.63/205,213.79
  6. Step 6: Final answer
    x = 232,999.21

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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.