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Finding the Fourth Proportional to 319,597.20, 478,812.60 and 194,792.40

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Solution

The fourth proportional to 319,597.20, 478,812.60 and 194,792.40 is: 291,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,597.20 : 478,812.60 = 194,792.40 : x
  2. Step 2: Convert to fraction form
    319,597.20/478,812.60 = 194,792.40/x
  3. Step 3: Cross multiply
    319,597.20x = 478,812.60 × 194,792.40
  4. Step 4: Simplify right side
    319,597.20x = 93,269,055,504.24
  5. Step 5: Solve for x
    x = 93,269,055,504.24/319,597.20
  6. Step 6: Final answer
    x = 291,833.14

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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.