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Finding the Fourth Proportional to 388,776, 583,200 and 178,383.36

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Solution

The fourth proportional to 388,776, 583,200 and 178,383.36 is: 267,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,776 : 583,200 = 178,383.36 : x
  2. Step 2: Convert to fraction form
    388,776/583,200 = 178,383.36/x
  3. Step 3: Cross multiply
    388,776x = 583,200 × 178,383.36
  4. Step 4: Simplify right side
    388,776x = 104,033,175,552.00
  5. Step 5: Solve for x
    x = 104,033,175,552.00/388,776
  6. Step 6: Final answer
    x = 267,591.56

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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.