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Finding the Fourth Proportional to 529,117.80, 793,676.70 and 280,285.80

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Solution

The fourth proportional to 529,117.80, 793,676.70 and 280,285.80 is: 420,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,117.80 : 793,676.70 = 280,285.80 : x
  2. Step 2: Convert to fraction form
    529,117.80/793,676.70 = 280,285.80/x
  3. Step 3: Cross multiply
    529,117.80x = 793,676.70 × 280,285.80
  4. Step 4: Simplify right side
    529,117.80x = 222,456,308,800.86
  5. Step 5: Solve for x
    x = 222,456,308,800.86/529,117.80
  6. Step 6: Final answer
    x = 420,428.70

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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.