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Finding the Fourth Proportional to 385,232.48, 577,863.84 and 118,969.28

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Solution

The fourth proportional to 385,232.48, 577,863.84 and 118,969.28 is: 178,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,232.48 : 577,863.84 = 118,969.28 : x
  2. Step 2: Convert to fraction form
    385,232.48/577,863.84 = 118,969.28/x
  3. Step 3: Cross multiply
    385,232.48x = 577,863.84 × 118,969.28
  4. Step 4: Simplify right side
    385,232.48x = 68,748,044,982.84
  5. Step 5: Solve for x
    x = 68,748,044,982.84/385,232.48
  6. Step 6: Final answer
    x = 178,458.59

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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.