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Finding the Fourth Proportional to 315,085.76, 472,702.60 and 193,641.64

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Solution

The fourth proportional to 315,085.76, 472,702.60 and 193,641.64 is: 290,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.76 : 472,702.60 = 193,641.64 : x
  2. Step 2: Convert to fraction form
    315,085.76/472,702.60 = 193,641.64/x
  3. Step 3: Cross multiply
    315,085.76x = 472,702.60 × 193,641.64
  4. Step 4: Simplify right side
    315,085.76x = 91,534,906,696.26
  5. Step 5: Solve for x
    x = 91,534,906,696.26/315,085.76
  6. Step 6: Final answer
    x = 290,507.91

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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.