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Finding the Fourth Proportional to 540,256, 745,553.28 and 301,792

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Solution

The fourth proportional to 540,256, 745,553.28 and 301,792 is: 416,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,256 : 745,553.28 = 301,792 : x
  2. Step 2: Convert to fraction form
    540,256/745,553.28 = 301,792/x
  3. Step 3: Cross multiply
    540,256x = 745,553.28 × 301,792
  4. Step 4: Simplify right side
    540,256x = 225,002,015,477.76
  5. Step 5: Solve for x
    x = 225,002,015,477.76/540,256
  6. Step 6: Final answer
    x = 416,472.96

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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.