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Finding the Fourth Proportional to 602,188.23, 830,978.38 and 330,250.17

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Solution

The fourth proportional to 602,188.23, 830,978.38 and 330,250.17 is: 455,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,188.23 : 830,978.38 = 330,250.17 : x
  2. Step 2: Convert to fraction form
    602,188.23/830,978.38 = 330,250.17/x
  3. Step 3: Cross multiply
    602,188.23x = 830,978.38 × 330,250.17
  4. Step 4: Simplify right side
    602,188.23x = 274,430,751,261.33
  5. Step 5: Solve for x
    x = 274,430,751,261.33/602,188.23
  6. Step 6: Final answer
    x = 455,722.54

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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.