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Finding the Fourth Proportional to 385,663.84, 578,437.44 and 105,203.20

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Solution

The fourth proportional to 385,663.84, 578,437.44 and 105,203.20 is: 157,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,663.84 : 578,437.44 = 105,203.20 : x
  2. Step 2: Convert to fraction form
    385,663.84/578,437.44 = 105,203.20/x
  3. Step 3: Cross multiply
    385,663.84x = 578,437.44 × 105,203.20
  4. Step 4: Simplify right side
    385,663.84x = 60,853,469,687.81
  5. Step 5: Solve for x
    x = 60,853,469,687.81/385,663.84
  6. Step 6: Final answer
    x = 157,788.89

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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.