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Finding the Fourth Proportional to 547,779.80, 821,669.70 and 311,583.80

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Solution

The fourth proportional to 547,779.80, 821,669.70 and 311,583.80 is: 467,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,779.80 : 821,669.70 = 311,583.80 : x
  2. Step 2: Convert to fraction form
    547,779.80/821,669.70 = 311,583.80/x
  3. Step 3: Cross multiply
    547,779.80x = 821,669.70 × 311,583.80
  4. Step 4: Simplify right side
    547,779.80x = 256,018,967,470.86
  5. Step 5: Solve for x
    x = 256,018,967,470.86/547,779.80
  6. Step 6: Final answer
    x = 467,375.70

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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.