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Finding the Fourth Proportional to 547,100.64, 755,124.85 and 320,819.04

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Solution

The fourth proportional to 547,100.64, 755,124.85 and 320,819.04 is: 442,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,100.64 : 755,124.85 = 320,819.04 : x
  2. Step 2: Convert to fraction form
    547,100.64/755,124.85 = 320,819.04/x
  3. Step 3: Cross multiply
    547,100.64x = 755,124.85 × 320,819.04
  4. Step 4: Simplify right side
    547,100.64x = 242,258,429,457.14
  5. Step 5: Solve for x
    x = 242,258,429,457.14/547,100.64
  6. Step 6: Final answer
    x = 442,804.14

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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.