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Finding the Fourth Proportional to 305,597.18, 458,489.62 and 145,876.93

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Solution

The fourth proportional to 305,597.18, 458,489.62 and 145,876.93 is: 218,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,597.18 : 458,489.62 = 145,876.93 : x
  2. Step 2: Convert to fraction form
    305,597.18/458,489.62 = 145,876.93/x
  3. Step 3: Cross multiply
    305,597.18x = 458,489.62 × 145,876.93
  4. Step 4: Simplify right side
    305,597.18x = 66,883,058,202.47
  5. Step 5: Solve for x
    x = 66,883,058,202.47/305,597.18
  6. Step 6: Final answer
    x = 218,860.19

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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.