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Finding the Fourth Proportional to 310,320, 465,480 and 113,328

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Solution

The fourth proportional to 310,320, 465,480 and 113,328 is: 169,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,320 : 465,480 = 113,328 : x
  2. Step 2: Convert to fraction form
    310,320/465,480 = 113,328/x
  3. Step 3: Cross multiply
    310,320x = 465,480 × 113,328
  4. Step 4: Simplify right side
    310,320x = 52,751,917,440
  5. Step 5: Solve for x
    x = 52,751,917,440/310,320
  6. Step 6: Final answer
    x = 169,992

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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.