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Finding the Fourth Proportional to 631,724.96, 947,685.91 and 378,946.03

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Solution

The fourth proportional to 631,724.96, 947,685.91 and 378,946.03 is: 568,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,724.96 : 947,685.91 = 378,946.03 : x
  2. Step 2: Convert to fraction form
    631,724.96/947,685.91 = 378,946.03/x
  3. Step 3: Cross multiply
    631,724.96x = 947,685.91 × 378,946.03
  4. Step 4: Simplify right side
    631,724.96x = 359,121,813,281.44
  5. Step 5: Solve for x
    x = 359,121,813,281.44/631,724.96
  6. Step 6: Final answer
    x = 568,478.11

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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.