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Finding the Fourth Proportional to 305,456.84, 458,075.46 and 105,723.08

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Solution

The fourth proportional to 305,456.84, 458,075.46 and 105,723.08 is: 158,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456.84 : 458,075.46 = 105,723.08 : x
  2. Step 2: Convert to fraction form
    305,456.84/458,075.46 = 105,723.08/x
  3. Step 3: Cross multiply
    305,456.84x = 458,075.46 × 105,723.08
  4. Step 4: Simplify right side
    305,456.84x = 48,429,148,503.62
  5. Step 5: Solve for x
    x = 48,429,148,503.62/305,456.84
  6. Step 6: Final answer
    x = 158,546.62

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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.