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Finding the Fourth Proportional to 388,237.65, 582,086.28 and 171,978.93

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Solution

The fourth proportional to 388,237.65, 582,086.28 and 171,978.93 is: 257,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,237.65 : 582,086.28 = 171,978.93 : x
  2. Step 2: Convert to fraction form
    388,237.65/582,086.28 = 171,978.93/x
  3. Step 3: Cross multiply
    388,237.65x = 582,086.28 × 171,978.93
  4. Step 4: Simplify right side
    388,237.65x = 100,106,575,602.08
  5. Step 5: Solve for x
    x = 100,106,575,602.08/388,237.65
  6. Step 6: Final answer
    x = 257,848.71

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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.