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Finding the Fourth Proportional to 505,728.48, 698,044.36 and 314,627.92

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Solution

The fourth proportional to 505,728.48, 698,044.36 and 314,627.92 is: 434,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,728.48 : 698,044.36 = 314,627.92 : x
  2. Step 2: Convert to fraction form
    505,728.48/698,044.36 = 314,627.92/x
  3. Step 3: Cross multiply
    505,728.48x = 698,044.36 × 314,627.92
  4. Step 4: Simplify right side
    505,728.48x = 219,624,245,054.53
  5. Step 5: Solve for x
    x = 219,624,245,054.53/505,728.48
  6. Step 6: Final answer
    x = 434,273.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.