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Finding the Fourth Proportional to 529,499.98, 793,784.12 and 209,876.20

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Solution

The fourth proportional to 529,499.98, 793,784.12 and 209,876.20 is: 314,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,499.98 : 793,784.12 = 209,876.20 : x
  2. Step 2: Convert to fraction form
    529,499.98/793,784.12 = 209,876.20/x
  3. Step 3: Cross multiply
    529,499.98x = 793,784.12 × 209,876.20
  4. Step 4: Simplify right side
    529,499.98x = 166,596,394,725.94
  5. Step 5: Solve for x
    x = 166,596,394,725.94/529,499.98
  6. Step 6: Final answer
    x = 314,629.65

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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.