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Finding the Fourth Proportional to 388,125.60, 582,188.40 and 263,709.60

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Solution

The fourth proportional to 388,125.60, 582,188.40 and 263,709.60 is: 395,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,125.60 : 582,188.40 = 263,709.60 : x
  2. Step 2: Convert to fraction form
    388,125.60/582,188.40 = 263,709.60/x
  3. Step 3: Cross multiply
    388,125.60x = 582,188.40 × 263,709.60
  4. Step 4: Simplify right side
    388,125.60x = 153,528,670,088.64
  5. Step 5: Solve for x
    x = 153,528,670,088.64/388,125.60
  6. Step 6: Final answer
    x = 395,564.40

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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.