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Finding the Fourth Proportional to 384,868.80, 576,428.40 and 197,661.60

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Solution

The fourth proportional to 384,868.80, 576,428.40 and 197,661.60 is: 296,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,868.80 : 576,428.40 = 197,661.60 : x
  2. Step 2: Convert to fraction form
    384,868.80/576,428.40 = 197,661.60/x
  3. Step 3: Cross multiply
    384,868.80x = 576,428.40 × 197,661.60
  4. Step 4: Simplify right side
    384,868.80x = 113,937,759,829.44
  5. Step 5: Solve for x
    x = 113,937,759,829.44/384,868.80
  6. Step 6: Final answer
    x = 296,043.12

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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.