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Finding the Fourth Proportional to 305,969.90, 458,796.45 and 137,345.02

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Solution

The fourth proportional to 305,969.90, 458,796.45 and 137,345.02 is: 205,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969.90 : 458,796.45 = 137,345.02 : x
  2. Step 2: Convert to fraction form
    305,969.90/458,796.45 = 137,345.02/x
  3. Step 3: Cross multiply
    305,969.90x = 458,796.45 × 137,345.02
  4. Step 4: Simplify right side
    305,969.90x = 63,013,407,601.18
  5. Step 5: Solve for x
    x = 63,013,407,601.18/305,969.90
  6. Step 6: Final answer
    x = 205,946.43

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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.