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Finding the Fourth Proportional to 548,520.16, 821,929.20 and 380,368.48

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Solution

The fourth proportional to 548,520.16, 821,929.20 and 380,368.48 is: 569,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,520.16 : 821,929.20 = 380,368.48 : x
  2. Step 2: Convert to fraction form
    548,520.16/821,929.20 = 380,368.48/x
  3. Step 3: Cross multiply
    548,520.16x = 821,929.20 × 380,368.48
  4. Step 4: Simplify right side
    548,520.16x = 312,635,960,471.62
  5. Step 5: Solve for x
    x = 312,635,960,471.62/548,520.16
  6. Step 6: Final answer
    x = 569,962.57

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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.