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Finding the Fourth Proportional to 180,480, 270,720 and 49,152

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Solution

The fourth proportional to 180,480, 270,720 and 49,152 is: 73,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,480 : 270,720 = 49,152 : x
  2. Step 2: Convert to fraction form
    180,480/270,720 = 49,152/x
  3. Step 3: Cross multiply
    180,480x = 270,720 × 49,152
  4. Step 4: Simplify right side
    180,480x = 13,306,429,440
  5. Step 5: Solve for x
    x = 13,306,429,440/180,480
  6. Step 6: Final answer
    x = 73,728

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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.