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Finding the Fourth Proportional to 388,152.76, 582,672 and 260,164.06

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Solution

The fourth proportional to 388,152.76, 582,672 and 260,164.06 is: 390,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,152.76 : 582,672 = 260,164.06 : x
  2. Step 2: Convert to fraction form
    388,152.76/582,672 = 260,164.06/x
  3. Step 3: Cross multiply
    388,152.76x = 582,672 × 260,164.06
  4. Step 4: Simplify right side
    388,152.76x = 151,590,313,168.32
  5. Step 5: Solve for x
    x = 151,590,313,168.32/388,152.76
  6. Step 6: Final answer
    x = 390,542.92

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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.