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Finding the Fourth Proportional to 315,485.44, 472,693.68 and 190,564

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Solution

The fourth proportional to 315,485.44, 472,693.68 and 190,564 is: 285,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,485.44 : 472,693.68 = 190,564 : x
  2. Step 2: Convert to fraction form
    315,485.44/472,693.68 = 190,564/x
  3. Step 3: Cross multiply
    315,485.44x = 472,693.68 × 190,564
  4. Step 4: Simplify right side
    315,485.44x = 90,078,398,435.52
  5. Step 5: Solve for x
    x = 90,078,398,435.52/315,485.44
  6. Step 6: Final answer
    x = 285,523.16

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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.