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Finding the Fourth Proportional to 547,780.80, 821,671.20 and 193,195.20

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Solution

The fourth proportional to 547,780.80, 821,671.20 and 193,195.20 is: 289,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,780.80 : 821,671.20 = 193,195.20 : x
  2. Step 2: Convert to fraction form
    547,780.80/821,671.20 = 193,195.20/x
  3. Step 3: Cross multiply
    547,780.80x = 821,671.20 × 193,195.20
  4. Step 4: Simplify right side
    547,780.80x = 158,742,931,818.24
  5. Step 5: Solve for x
    x = 158,742,931,818.24/547,780.80
  6. Step 6: Final answer
    x = 289,792.80

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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.