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Finding the Fourth Proportional to 305,971.35, 458,798.67 and 137,346.48

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Solution

The fourth proportional to 305,971.35, 458,798.67 and 137,346.48 is: 205,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971.35 : 458,798.67 = 137,346.48 : x
  2. Step 2: Convert to fraction form
    305,971.35/458,798.67 = 137,346.48/x
  3. Step 3: Cross multiply
    305,971.35x = 458,798.67 × 137,346.48
  4. Step 4: Simplify right side
    305,971.35x = 63,014,382,353.18
  5. Step 5: Solve for x
    x = 63,014,382,353.18/305,971.35
  6. Step 6: Final answer
    x = 205,948.64

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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.