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Finding the Fourth Proportional to 305,470.84, 458,267.70 and 105,786.80

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Solution

The fourth proportional to 305,470.84, 458,267.70 and 105,786.80 is: 158,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,470.84 : 458,267.70 = 105,786.80 : x
  2. Step 2: Convert to fraction form
    305,470.84/458,267.70 = 105,786.80/x
  3. Step 3: Cross multiply
    305,470.84x = 458,267.70 × 105,786.80
  4. Step 4: Simplify right side
    305,470.84x = 48,478,673,526.36
  5. Step 5: Solve for x
    x = 48,478,673,526.36/305,470.84
  6. Step 6: Final answer
    x = 158,701.48

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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.