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Finding the Fourth Proportional to 306,309.84, 459,412.92 and 84,642

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Solution

The fourth proportional to 306,309.84, 459,412.92 and 84,642 is: 126,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,309.84 : 459,412.92 = 84,642 : x
  2. Step 2: Convert to fraction form
    306,309.84/459,412.92 = 84,642/x
  3. Step 3: Cross multiply
    306,309.84x = 459,412.92 × 84,642
  4. Step 4: Simplify right side
    306,309.84x = 38,885,628,374.64
  5. Step 5: Solve for x
    x = 38,885,628,374.64/306,309.84
  6. Step 6: Final answer
    x = 126,948.68

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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.