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Finding the Fourth Proportional to 569,163.91, 785,457.57 and 311,056.90

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Solution

The fourth proportional to 569,163.91, 785,457.57 and 311,056.90 is: 429,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,163.91 : 785,457.57 = 311,056.90 : x
  2. Step 2: Convert to fraction form
    569,163.91/785,457.57 = 311,056.90/x
  3. Step 3: Cross multiply
    569,163.91x = 785,457.57 × 311,056.90
  4. Step 4: Simplify right side
    569,163.91x = 244,321,992,878.45
  5. Step 5: Solve for x
    x = 244,321,992,878.45/569,163.91
  6. Step 6: Final answer
    x = 429,264.74

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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.