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Finding the Fourth Proportional to 305,462.57, 458,009.72 and 136,952.42

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Solution

The fourth proportional to 305,462.57, 458,009.72 and 136,952.42 is: 205,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,462.57 : 458,009.72 = 136,952.42 : x
  2. Step 2: Convert to fraction form
    305,462.57/458,009.72 = 136,952.42/x
  3. Step 3: Cross multiply
    305,462.57x = 458,009.72 × 136,952.42
  4. Step 4: Simplify right side
    305,462.57x = 62,725,538,852.76
  5. Step 5: Solve for x
    x = 62,725,538,852.76/305,462.57
  6. Step 6: Final answer
    x = 205,346.07

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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.