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Finding the Fourth Proportional to 305,430.82, 458,036.46 and 105,696.98

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Solution

The fourth proportional to 305,430.82, 458,036.46 and 105,696.98 is: 158,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,430.82 : 458,036.46 = 105,696.98 : x
  2. Step 2: Convert to fraction form
    305,430.82/458,036.46 = 105,696.98/x
  3. Step 3: Cross multiply
    305,430.82x = 458,036.46 × 105,696.98
  4. Step 4: Simplify right side
    305,430.82x = 48,413,070,551.89
  5. Step 5: Solve for x
    x = 48,413,070,551.89/305,430.82
  6. Step 6: Final answer
    x = 158,507.48

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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.