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Finding the Fourth Proportional to 567,871.37, 783,664.95 and 309,753.87

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Solution

The fourth proportional to 567,871.37, 783,664.95 and 309,753.87 is: 427,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,871.37 : 783,664.95 = 309,753.87 : x
  2. Step 2: Convert to fraction form
    567,871.37/783,664.95 = 309,753.87/x
  3. Step 3: Cross multiply
    567,871.37x = 783,664.95 × 309,753.87
  4. Step 4: Simplify right side
    567,871.37x = 242,743,251,045.86
  5. Step 5: Solve for x
    x = 242,743,251,045.86/567,871.37
  6. Step 6: Final answer
    x = 427,461.69

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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.