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Finding the Fourth Proportional to 567,984.91, 783,818.11 and 309,861.87

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Solution

The fourth proportional to 567,984.91, 783,818.11 and 309,861.87 is: 427,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,984.91 : 783,818.11 = 309,861.87 : x
  2. Step 2: Convert to fraction form
    567,984.91/783,818.11 = 309,861.87/x
  3. Step 3: Cross multiply
    567,984.91x = 783,818.11 × 309,861.87
  4. Step 4: Simplify right side
    567,984.91x = 242,875,345,304.47
  5. Step 5: Solve for x
    x = 242,875,345,304.47/567,984.91
  6. Step 6: Final answer
    x = 427,608.80

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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.